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Finding the Fourth Proportional to 178.77, 247.02 and 158.42

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Solution

The fourth proportional to 178.77, 247.02 and 158.42 is: 218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 247.02 = 158.42 : x
  2. Step 2: Convert to fraction form
    178.77/247.02 = 158.42/x
  3. Step 3: Cross multiply
    178.77x = 247.02 × 158.42
  4. Step 4: Simplify right side
    178.77x = 39,132.93
  5. Step 5: Solve for x
    x = 39,132.93/178.77
  6. Step 6: Final answer
    x = 218.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.