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Finding the Fourth Proportional to 372.45, 558.72 and 189.78

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Solution

The fourth proportional to 372.45, 558.72 and 189.78 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.45 : 558.72 = 189.78 : x
  2. Step 2: Convert to fraction form
    372.45/558.72 = 189.78/x
  3. Step 3: Cross multiply
    372.45x = 558.72 × 189.78
  4. Step 4: Simplify right side
    372.45x = 106,033.88
  5. Step 5: Solve for x
    x = 106,033.88/372.45
  6. Step 6: Final answer
    x = 284.69

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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.