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Finding the Fourth Proportional to 407.71, 611.63 and 133.78

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Solution

The fourth proportional to 407.71, 611.63 and 133.78 is: 200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.71 : 611.63 = 133.78 : x
  2. Step 2: Convert to fraction form
    407.71/611.63 = 133.78/x
  3. Step 3: Cross multiply
    407.71x = 611.63 × 133.78
  4. Step 4: Simplify right side
    407.71x = 81,823.86
  5. Step 5: Solve for x
    x = 81,823.86/407.71
  6. Step 6: Final answer
    x = 200.69

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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.