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Finding the Fourth Proportional to 367.99, 507.81 and 202.20

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Solution

The fourth proportional to 367.99, 507.81 and 202.20 is: 279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.99 : 507.81 = 202.20 : x
  2. Step 2: Convert to fraction form
    367.99/507.81 = 202.20/x
  3. Step 3: Cross multiply
    367.99x = 507.81 × 202.20
  4. Step 4: Simplify right side
    367.99x = 102,675.63
  5. Step 5: Solve for x
    x = 102,675.63/367.99
  6. Step 6: Final answer
    x = 279.02

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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.