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Finding the Fourth Proportional to 259.66, 389.54 and 97.46

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Solution

The fourth proportional to 259.66, 389.54 and 97.46 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.66 : 389.54 = 97.46 : x
  2. Step 2: Convert to fraction form
    259.66/389.54 = 97.46/x
  3. Step 3: Cross multiply
    259.66x = 389.54 × 97.46
  4. Step 4: Simplify right side
    259.66x = 37,964.33
  5. Step 5: Solve for x
    x = 37,964.33/259.66
  6. Step 6: Final answer
    x = 146.21

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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.