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Finding the Fourth Proportional to 259.46, 389.20 and 97.14

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Solution

The fourth proportional to 259.46, 389.20 and 97.14 is: 145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.46 : 389.20 = 97.14 : x
  2. Step 2: Convert to fraction form
    259.46/389.20 = 97.14/x
  3. Step 3: Cross multiply
    259.46x = 389.20 × 97.14
  4. Step 4: Simplify right side
    259.46x = 37,806.89
  5. Step 5: Solve for x
    x = 37,806.89/259.46
  6. Step 6: Final answer
    x = 145.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.