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Finding the Fourth Proportional to 259.49, 389.07 and 96.98

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Solution

The fourth proportional to 259.49, 389.07 and 96.98 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 389.07 = 96.98 : x
  2. Step 2: Convert to fraction form
    259.49/389.07 = 96.98/x
  3. Step 3: Cross multiply
    259.49x = 389.07 × 96.98
  4. Step 4: Simplify right side
    259.49x = 37,732.01
  5. Step 5: Solve for x
    x = 37,732.01/259.49
  6. Step 6: Final answer
    x = 145.41

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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.