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Finding the Fourth Proportional to 288.52, 397.28 and 195.22

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Solution

The fourth proportional to 288.52, 397.28 and 195.22 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 397.28 = 195.22 : x
  2. Step 2: Convert to fraction form
    288.52/397.28 = 195.22/x
  3. Step 3: Cross multiply
    288.52x = 397.28 × 195.22
  4. Step 4: Simplify right side
    288.52x = 77,557.00
  5. Step 5: Solve for x
    x = 77,557.00/288.52
  6. Step 6: Final answer
    x = 268.81

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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.