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Finding the Fourth Proportional to 261.61, 360.82 and 198.81

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Solution

The fourth proportional to 261.61, 360.82 and 198.81 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.61 : 360.82 = 198.81 : x
  2. Step 2: Convert to fraction form
    261.61/360.82 = 198.81/x
  3. Step 3: Cross multiply
    261.61x = 360.82 × 198.81
  4. Step 4: Simplify right side
    261.61x = 71,734.62
  5. Step 5: Solve for x
    x = 71,734.62/261.61
  6. Step 6: Final answer
    x = 274.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.