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Finding the Fourth Proportional to 259.16, 357.22 and 191.74

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Solution

The fourth proportional to 259.16, 357.22 and 191.74 is: 264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 357.22 = 191.74 : x
  2. Step 2: Convert to fraction form
    259.16/357.22 = 191.74/x
  3. Step 3: Cross multiply
    259.16x = 357.22 × 191.74
  4. Step 4: Simplify right side
    259.16x = 68,494.05
  5. Step 5: Solve for x
    x = 68,494.05/259.16
  6. Step 6: Final answer
    x = 264.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.