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Finding the Fourth Proportional to 257.95, 387.07 and 109.69

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Solution

The fourth proportional to 257.95, 387.07 and 109.69 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.95 : 387.07 = 109.69 : x
  2. Step 2: Convert to fraction form
    257.95/387.07 = 109.69/x
  3. Step 3: Cross multiply
    257.95x = 387.07 × 109.69
  4. Step 4: Simplify right side
    257.95x = 42,456.47
  5. Step 5: Solve for x
    x = 42,456.47/257.95
  6. Step 6: Final answer
    x = 164.59

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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.