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Finding the Fourth Proportional to 261.46, 360.81 and 143.43

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Solution

The fourth proportional to 261.46, 360.81 and 143.43 is: 197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 360.81 = 143.43 : x
  2. Step 2: Convert to fraction form
    261.46/360.81 = 143.43/x
  3. Step 3: Cross multiply
    261.46x = 360.81 × 143.43
  4. Step 4: Simplify right side
    261.46x = 51,750.26
  5. Step 5: Solve for x
    x = 51,750.26/261.46
  6. Step 6: Final answer
    x = 197.93

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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.