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Finding the Fourth Proportional to 461.60, 692.06 and 153.27

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Solution

The fourth proportional to 461.60, 692.06 and 153.27 is: 229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.60 : 692.06 = 153.27 : x
  2. Step 2: Convert to fraction form
    461.60/692.06 = 153.27/x
  3. Step 3: Cross multiply
    461.60x = 692.06 × 153.27
  4. Step 4: Simplify right side
    461.60x = 106,071.27
  5. Step 5: Solve for x
    x = 106,071.27/461.60
  6. Step 6: Final answer
    x = 229.79

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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.