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Finding the Fourth Proportional to 372.65, 559.04 and 189.86

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Solution

The fourth proportional to 372.65, 559.04 and 189.86 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.65 : 559.04 = 189.86 : x
  2. Step 2: Convert to fraction form
    372.65/559.04 = 189.86/x
  3. Step 3: Cross multiply
    372.65x = 559.04 × 189.86
  4. Step 4: Simplify right side
    372.65x = 106,135.59
  5. Step 5: Solve for x
    x = 106,135.59/372.65
  6. Step 6: Final answer
    x = 284.82

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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.