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Finding the Fourth Proportional to 261.87, 360.55 and 199.50

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Solution

The fourth proportional to 261.87, 360.55 and 199.50 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.87 : 360.55 = 199.50 : x
  2. Step 2: Convert to fraction form
    261.87/360.55 = 199.50/x
  3. Step 3: Cross multiply
    261.87x = 360.55 × 199.50
  4. Step 4: Simplify right side
    261.87x = 71,929.73
  5. Step 5: Solve for x
    x = 71,929.73/261.87
  6. Step 6: Final answer
    x = 274.68

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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.