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Finding the Fourth Proportional to 257.59, 385.96 and 109.22

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Solution

The fourth proportional to 257.59, 385.96 and 109.22 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.59 : 385.96 = 109.22 : x
  2. Step 2: Convert to fraction form
    257.59/385.96 = 109.22/x
  3. Step 3: Cross multiply
    257.59x = 385.96 × 109.22
  4. Step 4: Simplify right side
    257.59x = 42,156.02
  5. Step 5: Solve for x
    x = 42,156.02/257.59
  6. Step 6: Final answer
    x = 163.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.