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Finding the Fourth Proportional to 177.20, 244.61 and 103.51

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Solution

The fourth proportional to 177.20, 244.61 and 103.51 is: 142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 244.61 = 103.51 : x
  2. Step 2: Convert to fraction form
    177.20/244.61 = 103.51/x
  3. Step 3: Cross multiply
    177.20x = 244.61 × 103.51
  4. Step 4: Simplify right side
    177.20x = 25,319.58
  5. Step 5: Solve for x
    x = 25,319.58/177.20
  6. Step 6: Final answer
    x = 142.89

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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.