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Finding the Fourth Proportional to 177.72, 245.28 and 104.09

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Solution

The fourth proportional to 177.72, 245.28 and 104.09 is: 143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 245.28 = 104.09 : x
  2. Step 2: Convert to fraction form
    177.72/245.28 = 104.09/x
  3. Step 3: Cross multiply
    177.72x = 245.28 × 104.09
  4. Step 4: Simplify right side
    177.72x = 25,531.20
  5. Step 5: Solve for x
    x = 25,531.20/177.72
  6. Step 6: Final answer
    x = 143.66

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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.