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Finding the Fourth Proportional to 257.12, 354.86 and 158.84

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Solution

The fourth proportional to 257.12, 354.86 and 158.84 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.12 : 354.86 = 158.84 : x
  2. Step 2: Convert to fraction form
    257.12/354.86 = 158.84/x
  3. Step 3: Cross multiply
    257.12x = 354.86 × 158.84
  4. Step 4: Simplify right side
    257.12x = 56,363.39
  5. Step 5: Solve for x
    x = 56,363.39/257.12
  6. Step 6: Final answer
    x = 219.21

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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.