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Finding the Fourth Proportional to 291.42, 437.28 and 129.15

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Solution

The fourth proportional to 291.42, 437.28 and 129.15 is: 193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.42 : 437.28 = 129.15 : x
  2. Step 2: Convert to fraction form
    291.42/437.28 = 129.15/x
  3. Step 3: Cross multiply
    291.42x = 437.28 × 129.15
  4. Step 4: Simplify right side
    291.42x = 56,474.71
  5. Step 5: Solve for x
    x = 56,474.71/291.42
  6. Step 6: Final answer
    x = 193.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.