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Finding the Fourth Proportional to 261.28, 360.55 and 143.25

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Solution

The fourth proportional to 261.28, 360.55 and 143.25 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 360.55 = 143.25 : x
  2. Step 2: Convert to fraction form
    261.28/360.55 = 143.25/x
  3. Step 3: Cross multiply
    261.28x = 360.55 × 143.25
  4. Step 4: Simplify right side
    261.28x = 51,648.79
  5. Step 5: Solve for x
    x = 51,648.79/261.28
  6. Step 6: Final answer
    x = 197.68

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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.