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Finding the Fourth Proportional to 296.72, 445.11 and 142.72

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Solution

The fourth proportional to 296.72, 445.11 and 142.72 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.72 : 445.11 = 142.72 : x
  2. Step 2: Convert to fraction form
    296.72/445.11 = 142.72/x
  3. Step 3: Cross multiply
    296.72x = 445.11 × 142.72
  4. Step 4: Simplify right side
    296.72x = 63,526.10
  5. Step 5: Solve for x
    x = 63,526.10/296.72
  6. Step 6: Final answer
    x = 214.09

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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.