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Finding the Fourth Proportional to 176.60, 243.76 and 121.49

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Solution

The fourth proportional to 176.60, 243.76 and 121.49 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 243.76 = 121.49 : x
  2. Step 2: Convert to fraction form
    176.60/243.76 = 121.49/x
  3. Step 3: Cross multiply
    176.60x = 243.76 × 121.49
  4. Step 4: Simplify right side
    176.60x = 29,614.71
  5. Step 5: Solve for x
    x = 29,614.71/176.60
  6. Step 6: Final answer
    x = 167.70

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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.