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Finding the Fourth Proportional to 240.47, 360.86 and 96.19

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Solution

The fourth proportional to 240.47, 360.86 and 96.19 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.47 : 360.86 = 96.19 : x
  2. Step 2: Convert to fraction form
    240.47/360.86 = 96.19/x
  3. Step 3: Cross multiply
    240.47x = 360.86 × 96.19
  4. Step 4: Simplify right side
    240.47x = 34,709.74
  5. Step 5: Solve for x
    x = 34,709.74/240.47
  6. Step 6: Final answer
    x = 144.34

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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.