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Finding the Fourth Proportional to 461.96, 692.95 and 137.33

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Solution

The fourth proportional to 461.96, 692.95 and 137.33 is: 206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 692.95 = 137.33 : x
  2. Step 2: Convert to fraction form
    461.96/692.95 = 137.33/x
  3. Step 3: Cross multiply
    461.96x = 692.95 × 137.33
  4. Step 4: Simplify right side
    461.96x = 95,162.82
  5. Step 5: Solve for x
    x = 95,162.82/461.96
  6. Step 6: Final answer
    x = 206.00

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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.