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Finding the Fourth Proportional to 275.52, 380.23 and 157.49

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Solution

The fourth proportional to 275.52, 380.23 and 157.49 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.52 : 380.23 = 157.49 : x
  2. Step 2: Convert to fraction form
    275.52/380.23 = 157.49/x
  3. Step 3: Cross multiply
    275.52x = 380.23 × 157.49
  4. Step 4: Simplify right side
    275.52x = 59,883.69
  5. Step 5: Solve for x
    x = 59,883.69/275.52
  6. Step 6: Final answer
    x = 217.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.