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Finding the Fourth Proportional to 392.12, 587.93 and 186.58

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Solution

The fourth proportional to 392.12, 587.93 and 186.58 is: 279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.12 : 587.93 = 186.58 : x
  2. Step 2: Convert to fraction form
    392.12/587.93 = 186.58/x
  3. Step 3: Cross multiply
    392.12x = 587.93 × 186.58
  4. Step 4: Simplify right side
    392.12x = 109,694.52
  5. Step 5: Solve for x
    x = 109,694.52/392.12
  6. Step 6: Final answer
    x = 279.75

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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.