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Finding the Fourth Proportional to 461.78, 692.06 and 187.54

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Solution

The fourth proportional to 461.78, 692.06 and 187.54 is: 281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.78 : 692.06 = 187.54 : x
  2. Step 2: Convert to fraction form
    461.78/692.06 = 187.54/x
  3. Step 3: Cross multiply
    461.78x = 692.06 × 187.54
  4. Step 4: Simplify right side
    461.78x = 129,788.93
  5. Step 5: Solve for x
    x = 129,788.93/461.78
  6. Step 6: Final answer
    x = 281.06

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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.