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Finding the Fourth Proportional to 304.38, 456.24 and 142.17

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Solution

The fourth proportional to 304.38, 456.24 and 142.17 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 456.24 = 142.17 : x
  2. Step 2: Convert to fraction form
    304.38/456.24 = 142.17/x
  3. Step 3: Cross multiply
    304.38x = 456.24 × 142.17
  4. Step 4: Simplify right side
    304.38x = 64,863.64
  5. Step 5: Solve for x
    x = 64,863.64/304.38
  6. Step 6: Final answer
    x = 213.10

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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.