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Finding the Fourth Proportional to 367.89, 507.70 and 202.11

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Solution

The fourth proportional to 367.89, 507.70 and 202.11 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.89 : 507.70 = 202.11 : x
  2. Step 2: Convert to fraction form
    367.89/507.70 = 202.11/x
  3. Step 3: Cross multiply
    367.89x = 507.70 × 202.11
  4. Step 4: Simplify right side
    367.89x = 102,610.87
  5. Step 5: Solve for x
    x = 102,610.87/367.89
  6. Step 6: Final answer
    x = 278.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.