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Finding the Fourth Proportional to 250.24, 375.96 and 178.24

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Solution

The fourth proportional to 250.24, 375.96 and 178.24 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.24 : 375.96 = 178.24 : x
  2. Step 2: Convert to fraction form
    250.24/375.96 = 178.24/x
  3. Step 3: Cross multiply
    250.24x = 375.96 × 178.24
  4. Step 4: Simplify right side
    250.24x = 67,011.11
  5. Step 5: Solve for x
    x = 67,011.11/250.24
  6. Step 6: Final answer
    x = 267.79

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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.