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Finding the Fourth Proportional to 261.12, 360 and 199.02

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Solution

The fourth proportional to 261.12, 360 and 199.02 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.12 : 360 = 199.02 : x
  2. Step 2: Convert to fraction form
    261.12/360 = 199.02/x
  3. Step 3: Cross multiply
    261.12x = 360 × 199.02
  4. Step 4: Simplify right side
    261.12x = 71,647.20
  5. Step 5: Solve for x
    x = 71,647.20/261.12
  6. Step 6: Final answer
    x = 274.38

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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.