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Finding the Fourth Proportional to 374.20, 560.10 and 200.44

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Solution

The fourth proportional to 374.20, 560.10 and 200.44 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.20 : 560.10 = 200.44 : x
  2. Step 2: Convert to fraction form
    374.20/560.10 = 200.44/x
  3. Step 3: Cross multiply
    374.20x = 560.10 × 200.44
  4. Step 4: Simplify right side
    374.20x = 112,266.44
  5. Step 5: Solve for x
    x = 112,266.44/374.20
  6. Step 6: Final answer
    x = 300.02

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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.