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Finding the Fourth Proportional to 372.84, 560.27 and 199.63

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Solution

The fourth proportional to 372.84, 560.27 and 199.63 is: 299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 560.27 = 199.63 : x
  2. Step 2: Convert to fraction form
    372.84/560.27 = 199.63/x
  3. Step 3: Cross multiply
    372.84x = 560.27 × 199.63
  4. Step 4: Simplify right side
    372.84x = 111,845.70
  5. Step 5: Solve for x
    x = 111,845.70/372.84
  6. Step 6: Final answer
    x = 299.99

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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.