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Finding the Fourth Proportional to 261.54, 392.34 and 107.46

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Solution

The fourth proportional to 261.54, 392.34 and 107.46 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 392.34 = 107.46 : x
  2. Step 2: Convert to fraction form
    261.54/392.34 = 107.46/x
  3. Step 3: Cross multiply
    261.54x = 392.34 × 107.46
  4. Step 4: Simplify right side
    261.54x = 42,160.86
  5. Step 5: Solve for x
    x = 42,160.86/261.54
  6. Step 6: Final answer
    x = 161.20

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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.