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Finding the Fourth Proportional to 261.63, 392.30 and 107.66

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Solution

The fourth proportional to 261.63, 392.30 and 107.66 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.63 : 392.30 = 107.66 : x
  2. Step 2: Convert to fraction form
    261.63/392.30 = 107.66/x
  3. Step 3: Cross multiply
    261.63x = 392.30 × 107.66
  4. Step 4: Simplify right side
    261.63x = 42,235.56
  5. Step 5: Solve for x
    x = 42,235.56/261.63
  6. Step 6: Final answer
    x = 161.43

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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.