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Finding the Fourth Proportional to 237.42, 354.32 and 200.22

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Solution

The fourth proportional to 237.42, 354.32 and 200.22 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 354.32 = 200.22 : x
  2. Step 2: Convert to fraction form
    237.42/354.32 = 200.22/x
  3. Step 3: Cross multiply
    237.42x = 354.32 × 200.22
  4. Step 4: Simplify right side
    237.42x = 70,940.95
  5. Step 5: Solve for x
    x = 70,940.95/237.42
  6. Step 6: Final answer
    x = 298.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.