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Finding the Fourth Proportional to 259.48, 391.21 and 241.86

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Solution

The fourth proportional to 259.48, 391.21 and 241.86 is: 364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 391.21 = 241.86 : x
  2. Step 2: Convert to fraction form
    259.48/391.21 = 241.86/x
  3. Step 3: Cross multiply
    259.48x = 391.21 × 241.86
  4. Step 4: Simplify right side
    259.48x = 94,618.05
  5. Step 5: Solve for x
    x = 94,618.05/259.48
  6. Step 6: Final answer
    x = 364.64

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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.