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Finding the Fourth Proportional to 257.17, 354.89 and 157.63

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Solution

The fourth proportional to 257.17, 354.89 and 157.63 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.17 : 354.89 = 157.63 : x
  2. Step 2: Convert to fraction form
    257.17/354.89 = 157.63/x
  3. Step 3: Cross multiply
    257.17x = 354.89 × 157.63
  4. Step 4: Simplify right side
    257.17x = 55,939.54
  5. Step 5: Solve for x
    x = 55,939.54/257.17
  6. Step 6: Final answer
    x = 217.52

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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.