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Finding the Fourth Proportional to 259.34, 388.77 and 97.13

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Solution

The fourth proportional to 259.34, 388.77 and 97.13 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.34 : 388.77 = 97.13 : x
  2. Step 2: Convert to fraction form
    259.34/388.77 = 97.13/x
  3. Step 3: Cross multiply
    259.34x = 388.77 × 97.13
  4. Step 4: Simplify right side
    259.34x = 37,761.23
  5. Step 5: Solve for x
    x = 37,761.23/259.34
  6. Step 6: Final answer
    x = 145.61

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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.