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Finding the Fourth Proportional to 257.24, 354.84 and 158.93

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Solution

The fourth proportional to 257.24, 354.84 and 158.93 is: 219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 354.84 = 158.93 : x
  2. Step 2: Convert to fraction form
    257.24/354.84 = 158.93/x
  3. Step 3: Cross multiply
    257.24x = 354.84 × 158.93
  4. Step 4: Simplify right side
    257.24x = 56,394.72
  5. Step 5: Solve for x
    x = 56,394.72/257.24
  6. Step 6: Final answer
    x = 219.23

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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.