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Finding the Fourth Proportional to 367.48, 507.12 and 201.69

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Solution

The fourth proportional to 367.48, 507.12 and 201.69 is: 278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.48 : 507.12 = 201.69 : x
  2. Step 2: Convert to fraction form
    367.48/507.12 = 201.69/x
  3. Step 3: Cross multiply
    367.48x = 507.12 × 201.69
  4. Step 4: Simplify right side
    367.48x = 102,280.84
  5. Step 5: Solve for x
    x = 102,280.84/367.48
  6. Step 6: Final answer
    x = 278.33

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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.