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Finding the Fourth Proportional to 461.57, 692.06 and 153.34

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Solution

The fourth proportional to 461.57, 692.06 and 153.34 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.57 : 692.06 = 153.34 : x
  2. Step 2: Convert to fraction form
    461.57/692.06 = 153.34/x
  3. Step 3: Cross multiply
    461.57x = 692.06 × 153.34
  4. Step 4: Simplify right side
    461.57x = 106,120.43
  5. Step 5: Solve for x
    x = 106,120.43/461.57
  6. Step 6: Final answer
    x = 229.91

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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.