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Finding the Fourth Proportional to 177.45, 244.98 and 125.16

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Solution

The fourth proportional to 177.45, 244.98 and 125.16 is: 172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 244.98 = 125.16 : x
  2. Step 2: Convert to fraction form
    177.45/244.98 = 125.16/x
  3. Step 3: Cross multiply
    177.45x = 244.98 × 125.16
  4. Step 4: Simplify right side
    177.45x = 30,661.70
  5. Step 5: Solve for x
    x = 30,661.70/177.45
  6. Step 6: Final answer
    x = 172.79

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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.