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Finding the Fourth Proportional to 461.65, 692.48 and 137.03

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Solution

The fourth proportional to 461.65, 692.48 and 137.03 is: 205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.65 : 692.48 = 137.03 : x
  2. Step 2: Convert to fraction form
    461.65/692.48 = 137.03/x
  3. Step 3: Cross multiply
    461.65x = 692.48 × 137.03
  4. Step 4: Simplify right side
    461.65x = 94,887.41
  5. Step 5: Solve for x
    x = 94,887.41/461.65
  6. Step 6: Final answer
    x = 205.54

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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.