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Finding the Fourth Proportional to 275.59, 380.19 and 177.31

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Solution

The fourth proportional to 275.59, 380.19 and 177.31 is: 244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.59 : 380.19 = 177.31 : x
  2. Step 2: Convert to fraction form
    275.59/380.19 = 177.31/x
  3. Step 3: Cross multiply
    275.59x = 380.19 × 177.31
  4. Step 4: Simplify right side
    275.59x = 67,411.49
  5. Step 5: Solve for x
    x = 67,411.49/275.59
  6. Step 6: Final answer
    x = 244.61

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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.