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Finding the Fourth Proportional to 461.93, 692.93 and 137.33

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Solution

The fourth proportional to 461.93, 692.93 and 137.33 is: 206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 692.93 = 137.33 : x
  2. Step 2: Convert to fraction form
    461.93/692.93 = 137.33/x
  3. Step 3: Cross multiply
    461.93x = 692.93 × 137.33
  4. Step 4: Simplify right side
    461.93x = 95,160.08
  5. Step 5: Solve for x
    x = 95,160.08/461.93
  6. Step 6: Final answer
    x = 206.01

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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.