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Finding the Fourth Proportional to 275.39, 380.06 and 177.18

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Solution

The fourth proportional to 275.39, 380.06 and 177.18 is: 244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.39 : 380.06 = 177.18 : x
  2. Step 2: Convert to fraction form
    275.39/380.06 = 177.18/x
  3. Step 3: Cross multiply
    275.39x = 380.06 × 177.18
  4. Step 4: Simplify right side
    275.39x = 67,339.03
  5. Step 5: Solve for x
    x = 67,339.03/275.39
  6. Step 6: Final answer
    x = 244.52

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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.