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Finding the Fourth Proportional to 259.16, 388.76 and 76.56

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Solution

The fourth proportional to 259.16, 388.76 and 76.56 is: 114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 388.76 = 76.56 : x
  2. Step 2: Convert to fraction form
    259.16/388.76 = 76.56/x
  3. Step 3: Cross multiply
    259.16x = 388.76 × 76.56
  4. Step 4: Simplify right side
    259.16x = 29,763.08
  5. Step 5: Solve for x
    x = 29,763.08/259.16
  6. Step 6: Final answer
    x = 114.84

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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.