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Finding the Fourth Proportional to 462.14, 692.97 and 153.88

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Solution

The fourth proportional to 462.14, 692.97 and 153.88 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 692.97 = 153.88 : x
  2. Step 2: Convert to fraction form
    462.14/692.97 = 153.88/x
  3. Step 3: Cross multiply
    462.14x = 692.97 × 153.88
  4. Step 4: Simplify right side
    462.14x = 106,634.22
  5. Step 5: Solve for x
    x = 106,634.22/462.14
  6. Step 6: Final answer
    x = 230.74

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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.