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Finding the Fourth Proportional to 461.53, 692.05 and 149.13

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Solution

The fourth proportional to 461.53, 692.05 and 149.13 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.53 : 692.05 = 149.13 : x
  2. Step 2: Convert to fraction form
    461.53/692.05 = 149.13/x
  3. Step 3: Cross multiply
    461.53x = 692.05 × 149.13
  4. Step 4: Simplify right side
    461.53x = 103,205.42
  5. Step 5: Solve for x
    x = 103,205.42/461.53
  6. Step 6: Final answer
    x = 223.62

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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.