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Finding the Fourth Proportional to 176.92, 244.24 and 114.78

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Solution

The fourth proportional to 176.92, 244.24 and 114.78 is: 158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.92 : 244.24 = 114.78 : x
  2. Step 2: Convert to fraction form
    176.92/244.24 = 114.78/x
  3. Step 3: Cross multiply
    176.92x = 244.24 × 114.78
  4. Step 4: Simplify right side
    176.92x = 28,034.82
  5. Step 5: Solve for x
    x = 28,034.82/176.92
  6. Step 6: Final answer
    x = 158.46

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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.