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Finding the Fourth Proportional to 261.49, 392.12 and 78.82

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Solution

The fourth proportional to 261.49, 392.12 and 78.82 is: 118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.49 : 392.12 = 78.82 : x
  2. Step 2: Convert to fraction form
    261.49/392.12 = 78.82/x
  3. Step 3: Cross multiply
    261.49x = 392.12 × 78.82
  4. Step 4: Simplify right side
    261.49x = 30,904.54
  5. Step 5: Solve for x
    x = 30,904.54/261.49
  6. Step 6: Final answer
    x = 118.19

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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.