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Finding the Fourth Proportional to 261.30, 360.56 and 144.86

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Solution

The fourth proportional to 261.30, 360.56 and 144.86 is: 199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 360.56 = 144.86 : x
  2. Step 2: Convert to fraction form
    261.30/360.56 = 144.86/x
  3. Step 3: Cross multiply
    261.30x = 360.56 × 144.86
  4. Step 4: Simplify right side
    261.30x = 52,228.19
  5. Step 5: Solve for x
    x = 52,228.19/261.30
  6. Step 6: Final answer
    x = 199.88

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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.