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Finding the Fourth Proportional to 288.53, 432.64 and 142.29

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Solution

The fourth proportional to 288.53, 432.64 and 142.29 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.53 : 432.64 = 142.29 : x
  2. Step 2: Convert to fraction form
    288.53/432.64 = 142.29/x
  3. Step 3: Cross multiply
    288.53x = 432.64 × 142.29
  4. Step 4: Simplify right side
    288.53x = 61,560.52
  5. Step 5: Solve for x
    x = 61,560.52/288.53
  6. Step 6: Final answer
    x = 213.36

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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.