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Finding the Fourth Proportional to 257.13, 354.71 and 158.94

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Solution

The fourth proportional to 257.13, 354.71 and 158.94 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 354.71 = 158.94 : x
  2. Step 2: Convert to fraction form
    257.13/354.71 = 158.94/x
  3. Step 3: Cross multiply
    257.13x = 354.71 × 158.94
  4. Step 4: Simplify right side
    257.13x = 56,378.00
  5. Step 5: Solve for x
    x = 56,378.00/257.13
  6. Step 6: Final answer
    x = 219.26

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Why These Related Problems?

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