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Finding the Fourth Proportional to 175.61, 242.78 and 167.96

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Solution

The fourth proportional to 175.61, 242.78 and 167.96 is: 232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.61 : 242.78 = 167.96 : x
  2. Step 2: Convert to fraction form
    175.61/242.78 = 167.96/x
  3. Step 3: Cross multiply
    175.61x = 242.78 × 167.96
  4. Step 4: Simplify right side
    175.61x = 40,775.28
  5. Step 5: Solve for x
    x = 40,775.28/175.61
  6. Step 6: Final answer
    x = 232.20

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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.