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Finding the Fourth Proportional to 261.05, 360.25 and 144.62

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Solution

The fourth proportional to 261.05, 360.25 and 144.62 is: 199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.05 : 360.25 = 144.62 : x
  2. Step 2: Convert to fraction form
    261.05/360.25 = 144.62/x
  3. Step 3: Cross multiply
    261.05x = 360.25 × 144.62
  4. Step 4: Simplify right side
    261.05x = 52,099.36
  5. Step 5: Solve for x
    x = 52,099.36/261.05
  6. Step 6: Final answer
    x = 199.58

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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.