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Finding the Fourth Proportional to 423.80, 635.71 and 135.23

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Solution

The fourth proportional to 423.80, 635.71 and 135.23 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.80 : 635.71 = 135.23 : x
  2. Step 2: Convert to fraction form
    423.80/635.71 = 135.23/x
  3. Step 3: Cross multiply
    423.80x = 635.71 × 135.23
  4. Step 4: Simplify right side
    423.80x = 85,969.42
  5. Step 5: Solve for x
    x = 85,969.42/423.80
  6. Step 6: Final answer
    x = 202.86

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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.