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Finding the Fourth Proportional to 261.88, 392.40 and 189.78

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Solution

The fourth proportional to 261.88, 392.40 and 189.78 is: 284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.88 : 392.40 = 189.78 : x
  2. Step 2: Convert to fraction form
    261.88/392.40 = 189.78/x
  3. Step 3: Cross multiply
    261.88x = 392.40 × 189.78
  4. Step 4: Simplify right side
    261.88x = 74,469.67
  5. Step 5: Solve for x
    x = 74,469.67/261.88
  6. Step 6: Final answer
    x = 284.37

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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.