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Finding the Fourth Proportional to 175.50, 242.64 and 167.85

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Solution

The fourth proportional to 175.50, 242.64 and 167.85 is: 232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 242.64 = 167.85 : x
  2. Step 2: Convert to fraction form
    175.50/242.64 = 167.85/x
  3. Step 3: Cross multiply
    175.50x = 242.64 × 167.85
  4. Step 4: Simplify right side
    175.50x = 40,727.12
  5. Step 5: Solve for x
    x = 40,727.12/175.50
  6. Step 6: Final answer
    x = 232.06

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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.