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Finding the Fourth Proportional to 392.10, 588.05 and 186.26

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Solution

The fourth proportional to 392.10, 588.05 and 186.26 is: 279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.10 : 588.05 = 186.26 : x
  2. Step 2: Convert to fraction form
    392.10/588.05 = 186.26/x
  3. Step 3: Cross multiply
    392.10x = 588.05 × 186.26
  4. Step 4: Simplify right side
    392.10x = 109,531.76
  5. Step 5: Solve for x
    x = 109,531.76/392.10
  6. Step 6: Final answer
    x = 279.34

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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.