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Finding the Fourth Proportional to 176.20, 242.90 and 124.36

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Solution

The fourth proportional to 176.20, 242.90 and 124.36 is: 171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 242.90 = 124.36 : x
  2. Step 2: Convert to fraction form
    176.20/242.90 = 124.36/x
  3. Step 3: Cross multiply
    176.20x = 242.90 × 124.36
  4. Step 4: Simplify right side
    176.20x = 30,207.04
  5. Step 5: Solve for x
    x = 30,207.04/176.20
  6. Step 6: Final answer
    x = 171.44

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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.