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Finding the Fourth Proportional to 259.64, 358.15 and 197.49

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Solution

The fourth proportional to 259.64, 358.15 and 197.49 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 358.15 = 197.49 : x
  2. Step 2: Convert to fraction form
    259.64/358.15 = 197.49/x
  3. Step 3: Cross multiply
    259.64x = 358.15 × 197.49
  4. Step 4: Simplify right side
    259.64x = 70,731.04
  5. Step 5: Solve for x
    x = 70,731.04/259.64
  6. Step 6: Final answer
    x = 272.42

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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.