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Finding the Fourth Proportional to 257.55, 355.02 and 195.13

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Solution

The fourth proportional to 257.55, 355.02 and 195.13 is: 268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 355.02 = 195.13 : x
  2. Step 2: Convert to fraction form
    257.55/355.02 = 195.13/x
  3. Step 3: Cross multiply
    257.55x = 355.02 × 195.13
  4. Step 4: Simplify right side
    257.55x = 69,274.08
  5. Step 5: Solve for x
    x = 69,274.08/257.55
  6. Step 6: Final answer
    x = 268.97

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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.