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Finding the Fourth Proportional to 176.61, 265.01 and 125.14

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Solution

The fourth proportional to 176.61, 265.01 and 125.14 is: 187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.61 : 265.01 = 125.14 : x
  2. Step 2: Convert to fraction form
    176.61/265.01 = 125.14/x
  3. Step 3: Cross multiply
    176.61x = 265.01 × 125.14
  4. Step 4: Simplify right side
    176.61x = 33,163.35
  5. Step 5: Solve for x
    x = 33,163.35/176.61
  6. Step 6: Final answer
    x = 187.78

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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.