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Finding the Fourth Proportional to 288.13, 432.17 and 141.83

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Solution

The fourth proportional to 288.13, 432.17 and 141.83 is: 212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.13 : 432.17 = 141.83 : x
  2. Step 2: Convert to fraction form
    288.13/432.17 = 141.83/x
  3. Step 3: Cross multiply
    288.13x = 432.17 × 141.83
  4. Step 4: Simplify right side
    288.13x = 61,291.80
  5. Step 5: Solve for x
    x = 61,291.80/288.13
  6. Step 6: Final answer
    x = 212.72

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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.