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Finding the Fourth Proportional to 261, 360.20 and 144.59

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Solution

The fourth proportional to 261, 360.20 and 144.59 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 360.20 = 144.59 : x
  2. Step 2: Convert to fraction form
    261/360.20 = 144.59/x
  3. Step 3: Cross multiply
    261x = 360.20 × 144.59
  4. Step 4: Simplify right side
    261x = 52,079.88
  5. Step 5: Solve for x
    x = 52,079.88/261
  6. Step 6: Final answer
    x = 199.54

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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.