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Finding the Fourth Proportional to 461.53, 692.31 and 153.41

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Solution

The fourth proportional to 461.53, 692.31 and 153.41 is: 230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.53 : 692.31 = 153.41 : x
  2. Step 2: Convert to fraction form
    461.53/692.31 = 153.41/x
  3. Step 3: Cross multiply
    461.53x = 692.31 × 153.41
  4. Step 4: Simplify right side
    461.53x = 106,203.05
  5. Step 5: Solve for x
    x = 106,203.05/461.53
  6. Step 6: Final answer
    x = 230.11

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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.