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Finding the Fourth Proportional to 176.87, 243.98 and 114.75

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Solution

The fourth proportional to 176.87, 243.98 and 114.75 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.87 : 243.98 = 114.75 : x
  2. Step 2: Convert to fraction form
    176.87/243.98 = 114.75/x
  3. Step 3: Cross multiply
    176.87x = 243.98 × 114.75
  4. Step 4: Simplify right side
    176.87x = 27,996.13
  5. Step 5: Solve for x
    x = 27,996.13/176.87
  6. Step 6: Final answer
    x = 158.28

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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.