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Finding the Fourth Proportional to 461.42, 692.14 and 136.78

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Solution

The fourth proportional to 461.42, 692.14 and 136.78 is: 205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 692.14 = 136.78 : x
  2. Step 2: Convert to fraction form
    461.42/692.14 = 136.78/x
  3. Step 3: Cross multiply
    461.42x = 692.14 × 136.78
  4. Step 4: Simplify right side
    461.42x = 94,670.91
  5. Step 5: Solve for x
    x = 94,670.91/461.42
  6. Step 6: Final answer
    x = 205.17

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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.