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Finding the Fourth Proportional to 275.57, 380.25 and 155.91

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Solution

The fourth proportional to 275.57, 380.25 and 155.91 is: 215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.57 : 380.25 = 155.91 : x
  2. Step 2: Convert to fraction form
    275.57/380.25 = 155.91/x
  3. Step 3: Cross multiply
    275.57x = 380.25 × 155.91
  4. Step 4: Simplify right side
    275.57x = 59,284.78
  5. Step 5: Solve for x
    x = 59,284.78/275.57
  6. Step 6: Final answer
    x = 215.14

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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.