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Finding the Fourth Proportional to 373.64, 559.92 and 200.42

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Solution

The fourth proportional to 373.64, 559.92 and 200.42 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.64 : 559.92 = 200.42 : x
  2. Step 2: Convert to fraction form
    373.64/559.92 = 200.42/x
  3. Step 3: Cross multiply
    373.64x = 559.92 × 200.42
  4. Step 4: Simplify right side
    373.64x = 112,219.17
  5. Step 5: Solve for x
    x = 112,219.17/373.64
  6. Step 6: Final answer
    x = 300.34

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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.