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Finding the Fourth Proportional to 259.76, 389.70 and 77.18

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Solution

The fourth proportional to 259.76, 389.70 and 77.18 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.76 : 389.70 = 77.18 : x
  2. Step 2: Convert to fraction form
    259.76/389.70 = 77.18/x
  3. Step 3: Cross multiply
    259.76x = 389.70 × 77.18
  4. Step 4: Simplify right side
    259.76x = 30,075.10
  5. Step 5: Solve for x
    x = 30,075.10/259.76
  6. Step 6: Final answer
    x = 115.78

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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.