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Finding the Fourth Proportional to 392.15, 588.23 and 118.24

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Solution

The fourth proportional to 392.15, 588.23 and 118.24 is: 177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.15 : 588.23 = 118.24 : x
  2. Step 2: Convert to fraction form
    392.15/588.23 = 118.24/x
  3. Step 3: Cross multiply
    392.15x = 588.23 × 118.24
  4. Step 4: Simplify right side
    392.15x = 69,550.84
  5. Step 5: Solve for x
    x = 69,550.84/392.15
  6. Step 6: Final answer
    x = 177.36

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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.