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Finding the Fourth Proportional to 788.06, 1,182.05 and 240.20

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Solution

The fourth proportional to 788.06, 1,182.05 and 240.20 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,182.05 = 240.20 : x
  2. Step 2: Convert to fraction form
    788.06/1,182.05 = 240.20/x
  3. Step 3: Cross multiply
    788.06x = 1,182.05 × 240.20
  4. Step 4: Simplify right side
    788.06x = 283,921.30
  5. Step 5: Solve for x
    x = 283,921.30/788.06
  6. Step 6: Final answer
    x = 360.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.