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Finding the Fourth Proportional to 392.86, 589.20 and 176.50

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Solution

The fourth proportional to 392.86, 589.20 and 176.50 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.86 : 589.20 = 176.50 : x
  2. Step 2: Convert to fraction form
    392.86/589.20 = 176.50/x
  3. Step 3: Cross multiply
    392.86x = 589.20 × 176.50
  4. Step 4: Simplify right side
    392.86x = 103,993.80
  5. Step 5: Solve for x
    x = 103,993.80/392.86
  6. Step 6: Final answer
    x = 264.71

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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.