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Finding the Fourth Proportional to 461.76, 692.57 and 153.54

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Solution

The fourth proportional to 461.76, 692.57 and 153.54 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 692.57 = 153.54 : x
  2. Step 2: Convert to fraction form
    461.76/692.57 = 153.54/x
  3. Step 3: Cross multiply
    461.76x = 692.57 × 153.54
  4. Step 4: Simplify right side
    461.76x = 106,336.43
  5. Step 5: Solve for x
    x = 106,336.43/461.76
  6. Step 6: Final answer
    x = 230.29

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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.