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Finding the Fourth Proportional to 288.34, 397.80 and 195.08

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Solution

The fourth proportional to 288.34, 397.80 and 195.08 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 397.80 = 195.08 : x
  2. Step 2: Convert to fraction form
    288.34/397.80 = 195.08/x
  3. Step 3: Cross multiply
    288.34x = 397.80 × 195.08
  4. Step 4: Simplify right side
    288.34x = 77,600.84
  5. Step 5: Solve for x
    x = 77,600.84/288.34
  6. Step 6: Final answer
    x = 269.13

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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.