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Finding the Fourth Proportional to 259.62, 391.37 and 242.43

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Solution

The fourth proportional to 259.62, 391.37 and 242.43 is: 365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.62 : 391.37 = 242.43 : x
  2. Step 2: Convert to fraction form
    259.62/391.37 = 242.43/x
  3. Step 3: Cross multiply
    259.62x = 391.37 × 242.43
  4. Step 4: Simplify right side
    259.62x = 94,879.83
  5. Step 5: Solve for x
    x = 94,879.83/259.62
  6. Step 6: Final answer
    x = 365.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.