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Finding the Fourth Proportional to 261.47, 392.14 and 78.82

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Solution

The fourth proportional to 261.47, 392.14 and 78.82 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.47 : 392.14 = 78.82 : x
  2. Step 2: Convert to fraction form
    261.47/392.14 = 78.82/x
  3. Step 3: Cross multiply
    261.47x = 392.14 × 78.82
  4. Step 4: Simplify right side
    261.47x = 30,908.47
  5. Step 5: Solve for x
    x = 30,908.47/261.47
  6. Step 6: Final answer
    x = 118.21

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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.