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Finding the Fourth Proportional to 200.71, 301.17 and 135.74

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Solution

The fourth proportional to 200.71, 301.17 and 135.74 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.71 : 301.17 = 135.74 : x
  2. Step 2: Convert to fraction form
    200.71/301.17 = 135.74/x
  3. Step 3: Cross multiply
    200.71x = 301.17 × 135.74
  4. Step 4: Simplify right side
    200.71x = 40,879.31
  5. Step 5: Solve for x
    x = 40,879.31/200.71
  6. Step 6: Final answer
    x = 203.68

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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.