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Finding the Fourth Proportional to 176.86, 265.34 and 55.14

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Solution

The fourth proportional to 176.86, 265.34 and 55.14 is: 82.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.86 : 265.34 = 55.14 : x
  2. Step 2: Convert to fraction form
    176.86/265.34 = 55.14/x
  3. Step 3: Cross multiply
    176.86x = 265.34 × 55.14
  4. Step 4: Simplify right side
    176.86x = 14,630.85
  5. Step 5: Solve for x
    x = 14,630.85/176.86
  6. Step 6: Final answer
    x = 82.73

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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.