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Finding the Fourth Proportional to 418, 627.06 and 186.85

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Solution

The fourth proportional to 418, 627.06 and 186.85 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 627.06 = 186.85 : x
  2. Step 2: Convert to fraction form
    418/627.06 = 186.85/x
  3. Step 3: Cross multiply
    418x = 627.06 × 186.85
  4. Step 4: Simplify right side
    418x = 117,166.16
  5. Step 5: Solve for x
    x = 117,166.16/418
  6. Step 6: Final answer
    x = 280.30

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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.