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Finding the Fourth Proportional to 392.34, 588.36 and 186.75

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Solution

The fourth proportional to 392.34, 588.36 and 186.75 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 588.36 = 186.75 : x
  2. Step 2: Convert to fraction form
    392.34/588.36 = 186.75/x
  3. Step 3: Cross multiply
    392.34x = 588.36 × 186.75
  4. Step 4: Simplify right side
    392.34x = 109,876.23
  5. Step 5: Solve for x
    x = 109,876.23/392.34
  6. Step 6: Final answer
    x = 280.05

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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.