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Finding the Fourth Proportional to 259.71, 358.11 and 197.34

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Solution

The fourth proportional to 259.71, 358.11 and 197.34 is: 272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 358.11 = 197.34 : x
  2. Step 2: Convert to fraction form
    259.71/358.11 = 197.34/x
  3. Step 3: Cross multiply
    259.71x = 358.11 × 197.34
  4. Step 4: Simplify right side
    259.71x = 70,669.43
  5. Step 5: Solve for x
    x = 70,669.43/259.71
  6. Step 6: Final answer
    x = 272.11

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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.