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Finding the Fourth Proportional to 261.09, 360.27 and 144.65

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Solution

The fourth proportional to 261.09, 360.27 and 144.65 is: 199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 360.27 = 144.65 : x
  2. Step 2: Convert to fraction form
    261.09/360.27 = 144.65/x
  3. Step 3: Cross multiply
    261.09x = 360.27 × 144.65
  4. Step 4: Simplify right side
    261.09x = 52,113.96
  5. Step 5: Solve for x
    x = 52,113.96/261.09
  6. Step 6: Final answer
    x = 199.60

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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.