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Finding the Fourth Proportional to 261.16, 360.38 and 144.72

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Solution

The fourth proportional to 261.16, 360.38 and 144.72 is: 199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.16 : 360.38 = 144.72 : x
  2. Step 2: Convert to fraction form
    261.16/360.38 = 144.72/x
  3. Step 3: Cross multiply
    261.16x = 360.38 × 144.72
  4. Step 4: Simplify right side
    261.16x = 52,154.56
  5. Step 5: Solve for x
    x = 52,154.56/261.16
  6. Step 6: Final answer
    x = 199.71

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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.