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Finding the Fourth Proportional to 462.06, 692.92 and 153.83

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Solution

The fourth proportional to 462.06, 692.92 and 153.83 is: 230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 692.92 = 153.83 : x
  2. Step 2: Convert to fraction form
    462.06/692.92 = 153.83/x
  3. Step 3: Cross multiply
    462.06x = 692.92 × 153.83
  4. Step 4: Simplify right side
    462.06x = 106,591.88
  5. Step 5: Solve for x
    x = 106,591.88/462.06
  6. Step 6: Final answer
    x = 230.69

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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.