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Finding the Fourth Proportional to 259.26, 387.45 and 190.95

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Solution

The fourth proportional to 259.26, 387.45 and 190.95 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 387.45 = 190.95 : x
  2. Step 2: Convert to fraction form
    259.26/387.45 = 190.95/x
  3. Step 3: Cross multiply
    259.26x = 387.45 × 190.95
  4. Step 4: Simplify right side
    259.26x = 73,983.58
  5. Step 5: Solve for x
    x = 73,983.58/259.26
  6. Step 6: Final answer
    x = 285.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.