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Finding the Fourth Proportional to 288.14, 432.24 and 125.82

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Solution

The fourth proportional to 288.14, 432.24 and 125.82 is: 188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.14 : 432.24 = 125.82 : x
  2. Step 2: Convert to fraction form
    288.14/432.24 = 125.82/x
  3. Step 3: Cross multiply
    288.14x = 432.24 × 125.82
  4. Step 4: Simplify right side
    288.14x = 54,384.44
  5. Step 5: Solve for x
    x = 54,384.44/288.14
  6. Step 6: Final answer
    x = 188.74

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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.