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Finding the Fourth Proportional to 177.87, 245.44 and 104.17

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Solution

The fourth proportional to 177.87, 245.44 and 104.17 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.87 : 245.44 = 104.17 : x
  2. Step 2: Convert to fraction form
    177.87/245.44 = 104.17/x
  3. Step 3: Cross multiply
    177.87x = 245.44 × 104.17
  4. Step 4: Simplify right side
    177.87x = 25,567.48
  5. Step 5: Solve for x
    x = 25,567.48/177.87
  6. Step 6: Final answer
    x = 143.74

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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.