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Finding the Fourth Proportional to 259.40, 358.02 and 197.44

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Solution

The fourth proportional to 259.40, 358.02 and 197.44 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.40 : 358.02 = 197.44 : x
  2. Step 2: Convert to fraction form
    259.40/358.02 = 197.44/x
  3. Step 3: Cross multiply
    259.40x = 358.02 × 197.44
  4. Step 4: Simplify right side
    259.40x = 70,686.57
  5. Step 5: Solve for x
    x = 70,686.57/259.40
  6. Step 6: Final answer
    x = 272.50

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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.