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Finding the Fourth Proportional to 261.24, 360.50 and 144.81

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Solution

The fourth proportional to 261.24, 360.50 and 144.81 is: 199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 360.50 = 144.81 : x
  2. Step 2: Convert to fraction form
    261.24/360.50 = 144.81/x
  3. Step 3: Cross multiply
    261.24x = 360.50 × 144.81
  4. Step 4: Simplify right side
    261.24x = 52,203.28
  5. Step 5: Solve for x
    x = 52,203.28/261.24
  6. Step 6: Final answer
    x = 199.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.