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Finding the Fourth Proportional to 261.09, 360.30 and 144.65

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Solution

The fourth proportional to 261.09, 360.30 and 144.65 is: 199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 360.30 = 144.65 : x
  2. Step 2: Convert to fraction form
    261.09/360.30 = 144.65/x
  3. Step 3: Cross multiply
    261.09x = 360.30 × 144.65
  4. Step 4: Simplify right side
    261.09x = 52,118.02
  5. Step 5: Solve for x
    x = 52,118.02/261.09
  6. Step 6: Final answer
    x = 199.62

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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.