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Finding the Fourth Proportional to 179.50, 248.16 and 171.85

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Solution

The fourth proportional to 179.50, 248.16 and 171.85 is: 237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.50 : 248.16 = 171.85 : x
  2. Step 2: Convert to fraction form
    179.50/248.16 = 171.85/x
  3. Step 3: Cross multiply
    179.50x = 248.16 × 171.85
  4. Step 4: Simplify right side
    179.50x = 42,646.30
  5. Step 5: Solve for x
    x = 42,646.30/179.50
  6. Step 6: Final answer
    x = 237.58

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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.