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Finding the Fourth Proportional to 200.24, 299.76 and 138.42

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Solution

The fourth proportional to 200.24, 299.76 and 138.42 is: 207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 299.76 = 138.42 : x
  2. Step 2: Convert to fraction form
    200.24/299.76 = 138.42/x
  3. Step 3: Cross multiply
    200.24x = 299.76 × 138.42
  4. Step 4: Simplify right side
    200.24x = 41,492.78
  5. Step 5: Solve for x
    x = 41,492.78/200.24
  6. Step 6: Final answer
    x = 207.22

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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.