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Finding the Fourth Proportional to 340.06, 469.26 and 200.20

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Solution

The fourth proportional to 340.06, 469.26 and 200.20 is: 276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.06 : 469.26 = 200.20 : x
  2. Step 2: Convert to fraction form
    340.06/469.26 = 200.20/x
  3. Step 3: Cross multiply
    340.06x = 469.26 × 200.20
  4. Step 4: Simplify right side
    340.06x = 93,945.85
  5. Step 5: Solve for x
    x = 93,945.85/340.06
  6. Step 6: Final answer
    x = 276.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.