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Finding the Fourth Proportional to 259.19, 388.65 and 76.53

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Solution

The fourth proportional to 259.19, 388.65 and 76.53 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.19 : 388.65 = 76.53 : x
  2. Step 2: Convert to fraction form
    259.19/388.65 = 76.53/x
  3. Step 3: Cross multiply
    259.19x = 388.65 × 76.53
  4. Step 4: Simplify right side
    259.19x = 29,745.13
  5. Step 5: Solve for x
    x = 29,745.13/259.19
  6. Step 6: Final answer
    x = 114.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.