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Finding the Fourth Proportional to 275.34, 380.12 and 187.29

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Solution

The fourth proportional to 275.34, 380.12 and 187.29 is: 258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 380.12 = 187.29 : x
  2. Step 2: Convert to fraction form
    275.34/380.12 = 187.29/x
  3. Step 3: Cross multiply
    275.34x = 380.12 × 187.29
  4. Step 4: Simplify right side
    275.34x = 71,192.67
  5. Step 5: Solve for x
    x = 71,192.67/275.34
  6. Step 6: Final answer
    x = 258.56

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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.