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Finding the Fourth Proportional to 275.24, 379.78 and 157.18

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Solution

The fourth proportional to 275.24, 379.78 and 157.18 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.24 : 379.78 = 157.18 : x
  2. Step 2: Convert to fraction form
    275.24/379.78 = 157.18/x
  3. Step 3: Cross multiply
    275.24x = 379.78 × 157.18
  4. Step 4: Simplify right side
    275.24x = 59,693.82
  5. Step 5: Solve for x
    x = 59,693.82/275.24
  6. Step 6: Final answer
    x = 216.88

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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.