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Finding the Fourth Proportional to 261.54, 392.48 and 107.43

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Solution

The fourth proportional to 261.54, 392.48 and 107.43 is: 161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 392.48 = 107.43 : x
  2. Step 2: Convert to fraction form
    261.54/392.48 = 107.43/x
  3. Step 3: Cross multiply
    261.54x = 392.48 × 107.43
  4. Step 4: Simplify right side
    261.54x = 42,163.59
  5. Step 5: Solve for x
    x = 42,163.59/261.54
  6. Step 6: Final answer
    x = 161.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.