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Finding the Fourth Proportional to 175.71, 261.93 and 167.85

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Solution

The fourth proportional to 175.71, 261.93 and 167.85 is: 250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 261.93 = 167.85 : x
  2. Step 2: Convert to fraction form
    175.71/261.93 = 167.85/x
  3. Step 3: Cross multiply
    175.71x = 261.93 × 167.85
  4. Step 4: Simplify right side
    175.71x = 43,964.95
  5. Step 5: Solve for x
    x = 43,964.95/175.71
  6. Step 6: Final answer
    x = 250.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.