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Finding the Fourth Proportional to 437.31, 656.06 and 129.17

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Solution

The fourth proportional to 437.31, 656.06 and 129.17 is: 193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.31 : 656.06 = 129.17 : x
  2. Step 2: Convert to fraction form
    437.31/656.06 = 129.17/x
  3. Step 3: Cross multiply
    437.31x = 656.06 × 129.17
  4. Step 4: Simplify right side
    437.31x = 84,739.34
  5. Step 5: Solve for x
    x = 84,739.34/437.31
  6. Step 6: Final answer
    x = 193.77

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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.