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Finding the Fourth Proportional to 296.49, 444.75 and 142.55

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Solution

The fourth proportional to 296.49, 444.75 and 142.55 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.49 : 444.75 = 142.55 : x
  2. Step 2: Convert to fraction form
    296.49/444.75 = 142.55/x
  3. Step 3: Cross multiply
    296.49x = 444.75 × 142.55
  4. Step 4: Simplify right side
    296.49x = 63,399.11
  5. Step 5: Solve for x
    x = 63,399.11/296.49
  6. Step 6: Final answer
    x = 213.83

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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.