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Finding the Fourth Proportional to 177.56, 244.98 and 103.88

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Solution

The fourth proportional to 177.56, 244.98 and 103.88 is: 143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 244.98 = 103.88 : x
  2. Step 2: Convert to fraction form
    177.56/244.98 = 103.88/x
  3. Step 3: Cross multiply
    177.56x = 244.98 × 103.88
  4. Step 4: Simplify right side
    177.56x = 25,447.30
  5. Step 5: Solve for x
    x = 25,447.30/177.56
  6. Step 6: Final answer
    x = 143.32

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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.