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Finding the Fourth Proportional to 176.38, 242.04 and 159.96

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Solution

The fourth proportional to 176.38, 242.04 and 159.96 is: 219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 242.04 = 159.96 : x
  2. Step 2: Convert to fraction form
    176.38/242.04 = 159.96/x
  3. Step 3: Cross multiply
    176.38x = 242.04 × 159.96
  4. Step 4: Simplify right side
    176.38x = 38,716.72
  5. Step 5: Solve for x
    x = 38,716.72/176.38
  6. Step 6: Final answer
    x = 219.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.