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Finding the Fourth Proportional to 259.42, 389.19 and 97.09

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Solution

The fourth proportional to 259.42, 389.19 and 97.09 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 389.19 = 97.09 : x
  2. Step 2: Convert to fraction form
    259.42/389.19 = 97.09/x
  3. Step 3: Cross multiply
    259.42x = 389.19 × 97.09
  4. Step 4: Simplify right side
    259.42x = 37,786.46
  5. Step 5: Solve for x
    x = 37,786.46/259.42
  6. Step 6: Final answer
    x = 145.66

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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.