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Finding the Fourth Proportional to 259.10, 357.22 and 212.42

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Solution

The fourth proportional to 259.10, 357.22 and 212.42 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 357.22 = 212.42 : x
  2. Step 2: Convert to fraction form
    259.10/357.22 = 212.42/x
  3. Step 3: Cross multiply
    259.10x = 357.22 × 212.42
  4. Step 4: Simplify right side
    259.10x = 75,880.67
  5. Step 5: Solve for x
    x = 75,880.67/259.10
  6. Step 6: Final answer
    x = 292.86

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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.