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Finding the Fourth Proportional to 461.64, 692.42 and 153.40

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Solution

The fourth proportional to 461.64, 692.42 and 153.40 is: 230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 692.42 = 153.40 : x
  2. Step 2: Convert to fraction form
    461.64/692.42 = 153.40/x
  3. Step 3: Cross multiply
    461.64x = 692.42 × 153.40
  4. Step 4: Simplify right side
    461.64x = 106,217.23
  5. Step 5: Solve for x
    x = 106,217.23/461.64
  6. Step 6: Final answer
    x = 230.09

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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.