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Finding the Fourth Proportional to 291.52, 437.32 and 129.20

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Solution

The fourth proportional to 291.52, 437.32 and 129.20 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.52 : 437.32 = 129.20 : x
  2. Step 2: Convert to fraction form
    291.52/437.32 = 129.20/x
  3. Step 3: Cross multiply
    291.52x = 437.32 × 129.20
  4. Step 4: Simplify right side
    291.52x = 56,501.74
  5. Step 5: Solve for x
    x = 56,501.74/291.52
  6. Step 6: Final answer
    x = 193.82

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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.