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Finding the Fourth Proportional to 461.58, 692.16 and 153.38

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Solution

The fourth proportional to 461.58, 692.16 and 153.38 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.58 : 692.16 = 153.38 : x
  2. Step 2: Convert to fraction form
    461.58/692.16 = 153.38/x
  3. Step 3: Cross multiply
    461.58x = 692.16 × 153.38
  4. Step 4: Simplify right side
    461.58x = 106,160.04
  5. Step 5: Solve for x
    x = 106,160.04/461.58
  6. Step 6: Final answer
    x = 229.99

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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.