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Finding the Fourth Proportional to 259.85, 389.93 and 97.65

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Solution

The fourth proportional to 259.85, 389.93 and 97.65 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.85 : 389.93 = 97.65 : x
  2. Step 2: Convert to fraction form
    259.85/389.93 = 97.65/x
  3. Step 3: Cross multiply
    259.85x = 389.93 × 97.65
  4. Step 4: Simplify right side
    259.85x = 38,076.18
  5. Step 5: Solve for x
    x = 38,076.18/259.85
  6. Step 6: Final answer
    x = 146.53

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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.