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Finding the Fourth Proportional to 259.79, 389.75 and 97.47

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Solution

The fourth proportional to 259.79, 389.75 and 97.47 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.79 : 389.75 = 97.47 : x
  2. Step 2: Convert to fraction form
    259.79/389.75 = 97.47/x
  3. Step 3: Cross multiply
    259.79x = 389.75 × 97.47
  4. Step 4: Simplify right side
    259.79x = 37,988.45
  5. Step 5: Solve for x
    x = 37,988.45/259.79
  6. Step 6: Final answer
    x = 146.23

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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.