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Finding the Fourth Proportional to 288.41, 397.61 and 195.06

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Solution

The fourth proportional to 288.41, 397.61 and 195.06 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.41 : 397.61 = 195.06 : x
  2. Step 2: Convert to fraction form
    288.41/397.61 = 195.06/x
  3. Step 3: Cross multiply
    288.41x = 397.61 × 195.06
  4. Step 4: Simplify right side
    288.41x = 77,556.82
  5. Step 5: Solve for x
    x = 77,556.82/288.41
  6. Step 6: Final answer
    x = 268.91

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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.