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Finding the Fourth Proportional to 296.89, 445.41 and 142.78

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Solution

The fourth proportional to 296.89, 445.41 and 142.78 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.89 : 445.41 = 142.78 : x
  2. Step 2: Convert to fraction form
    296.89/445.41 = 142.78/x
  3. Step 3: Cross multiply
    296.89x = 445.41 × 142.78
  4. Step 4: Simplify right side
    296.89x = 63,595.64
  5. Step 5: Solve for x
    x = 63,595.64/296.89
  6. Step 6: Final answer
    x = 214.21

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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.