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Finding the Fourth Proportional to 487.16, 730.54 and 178.90

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Solution

The fourth proportional to 487.16, 730.54 and 178.90 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.16 : 730.54 = 178.90 : x
  2. Step 2: Convert to fraction form
    487.16/730.54 = 178.90/x
  3. Step 3: Cross multiply
    487.16x = 730.54 × 178.90
  4. Step 4: Simplify right side
    487.16x = 130,693.61
  5. Step 5: Solve for x
    x = 130,693.61/487.16
  6. Step 6: Final answer
    x = 268.28

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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.