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Finding the Fourth Proportional to 461.66, 692.45 and 137.10

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Solution

The fourth proportional to 461.66, 692.45 and 137.10 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.66 : 692.45 = 137.10 : x
  2. Step 2: Convert to fraction form
    461.66/692.45 = 137.10/x
  3. Step 3: Cross multiply
    461.66x = 692.45 × 137.10
  4. Step 4: Simplify right side
    461.66x = 94,934.90
  5. Step 5: Solve for x
    x = 94,934.90/461.66
  6. Step 6: Final answer
    x = 205.64

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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.