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Finding the Fourth Proportional to 423.18, 634.77 and 134.70

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Solution

The fourth proportional to 423.18, 634.77 and 134.70 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 634.77 = 134.70 : x
  2. Step 2: Convert to fraction form
    423.18/634.77 = 134.70/x
  3. Step 3: Cross multiply
    423.18x = 634.77 × 134.70
  4. Step 4: Simplify right side
    423.18x = 85,503.52
  5. Step 5: Solve for x
    x = 85,503.52/423.18
  6. Step 6: Final answer
    x = 202.05

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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.