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Finding the Fourth Proportional to 460.53, 690.90 and 135.89

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Solution

The fourth proportional to 460.53, 690.90 and 135.89 is: 203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 690.90 = 135.89 : x
  2. Step 2: Convert to fraction form
    460.53/690.90 = 135.89/x
  3. Step 3: Cross multiply
    460.53x = 690.90 × 135.89
  4. Step 4: Simplify right side
    460.53x = 93,882.95
  5. Step 5: Solve for x
    x = 93,882.95/460.53
  6. Step 6: Final answer
    x = 203.86

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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.