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Finding the Fourth Proportional to 178.96, 247.06 and 126.62

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Solution

The fourth proportional to 178.96, 247.06 and 126.62 is: 174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 247.06 = 126.62 : x
  2. Step 2: Convert to fraction form
    178.96/247.06 = 126.62/x
  3. Step 3: Cross multiply
    178.96x = 247.06 × 126.62
  4. Step 4: Simplify right side
    178.96x = 31,282.74
  5. Step 5: Solve for x
    x = 31,282.74/178.96
  6. Step 6: Final answer
    x = 174.80

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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.