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Finding the Fourth Proportional to 175.52, 263.14 and 117.80

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Solution

The fourth proportional to 175.52, 263.14 and 117.80 is: 176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.52 : 263.14 = 117.80 : x
  2. Step 2: Convert to fraction form
    175.52/263.14 = 117.80/x
  3. Step 3: Cross multiply
    175.52x = 263.14 × 117.80
  4. Step 4: Simplify right side
    175.52x = 30,997.89
  5. Step 5: Solve for x
    x = 30,997.89/175.52
  6. Step 6: Final answer
    x = 176.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.