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Finding the Fourth Proportional to 261.43, 392.14 and 78.84

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Solution

The fourth proportional to 261.43, 392.14 and 78.84 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.43 : 392.14 = 78.84 : x
  2. Step 2: Convert to fraction form
    261.43/392.14 = 78.84/x
  3. Step 3: Cross multiply
    261.43x = 392.14 × 78.84
  4. Step 4: Simplify right side
    261.43x = 30,916.42
  5. Step 5: Solve for x
    x = 30,916.42/261.43
  6. Step 6: Final answer
    x = 118.26

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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.