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Finding the Fourth Proportional to 461.89, 692.94 and 153.78

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Solution

The fourth proportional to 461.89, 692.94 and 153.78 is: 230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 692.94 = 153.78 : x
  2. Step 2: Convert to fraction form
    461.89/692.94 = 153.78/x
  3. Step 3: Cross multiply
    461.89x = 692.94 × 153.78
  4. Step 4: Simplify right side
    461.89x = 106,560.31
  5. Step 5: Solve for x
    x = 106,560.31/461.89
  6. Step 6: Final answer
    x = 230.70

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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.