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Finding the Fourth Proportional to 288.02, 397.65 and 200.90

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Solution

The fourth proportional to 288.02, 397.65 and 200.90 is: 277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.02 : 397.65 = 200.90 : x
  2. Step 2: Convert to fraction form
    288.02/397.65 = 200.90/x
  3. Step 3: Cross multiply
    288.02x = 397.65 × 200.90
  4. Step 4: Simplify right side
    288.02x = 79,887.89
  5. Step 5: Solve for x
    x = 79,887.89/288.02
  6. Step 6: Final answer
    x = 277.37

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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.