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Finding the Fourth Proportional to 257.96, 354.66 and 229.68

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Solution

The fourth proportional to 257.96, 354.66 and 229.68 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 354.66 = 229.68 : x
  2. Step 2: Convert to fraction form
    257.96/354.66 = 229.68/x
  3. Step 3: Cross multiply
    257.96x = 354.66 × 229.68
  4. Step 4: Simplify right side
    257.96x = 81,459.17
  5. Step 5: Solve for x
    x = 81,459.17/257.96
  6. Step 6: Final answer
    x = 315.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.