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Finding the Fourth Proportional to 257.83, 387.05 and 197.28

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Solution

The fourth proportional to 257.83, 387.05 and 197.28 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.83 : 387.05 = 197.28 : x
  2. Step 2: Convert to fraction form
    257.83/387.05 = 197.28/x
  3. Step 3: Cross multiply
    257.83x = 387.05 × 197.28
  4. Step 4: Simplify right side
    257.83x = 76,356.24
  5. Step 5: Solve for x
    x = 76,356.24/257.83
  6. Step 6: Final answer
    x = 296.15

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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.