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Finding the Fourth Proportional to 202.94, 278.16 and 200.20

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Solution

The fourth proportional to 202.94, 278.16 and 200.20 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 278.16 = 200.20 : x
  2. Step 2: Convert to fraction form
    202.94/278.16 = 200.20/x
  3. Step 3: Cross multiply
    202.94x = 278.16 × 200.20
  4. Step 4: Simplify right side
    202.94x = 55,687.63
  5. Step 5: Solve for x
    x = 55,687.63/202.94
  6. Step 6: Final answer
    x = 274.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.