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Finding the Fourth Proportional to 288.60, 432.50 and 178.78

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Solution

The fourth proportional to 288.60, 432.50 and 178.78 is: 267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 432.50 = 178.78 : x
  2. Step 2: Convert to fraction form
    288.60/432.50 = 178.78/x
  3. Step 3: Cross multiply
    288.60x = 432.50 × 178.78
  4. Step 4: Simplify right side
    288.60x = 77,322.35
  5. Step 5: Solve for x
    x = 77,322.35/288.60
  6. Step 6: Final answer
    x = 267.92

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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.