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Finding the Fourth Proportional to 261.88, 392.80 and 79.23

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Solution

The fourth proportional to 261.88, 392.80 and 79.23 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.88 : 392.80 = 79.23 : x
  2. Step 2: Convert to fraction form
    261.88/392.80 = 79.23/x
  3. Step 3: Cross multiply
    261.88x = 392.80 × 79.23
  4. Step 4: Simplify right side
    261.88x = 31,120.76
  5. Step 5: Solve for x
    x = 31,120.76/261.88
  6. Step 6: Final answer
    x = 118.83

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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.