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Finding the Fourth Proportional to 259.10, 387.78 and 223.46

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Solution

The fourth proportional to 259.10, 387.78 and 223.46 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 387.78 = 223.46 : x
  2. Step 2: Convert to fraction form
    259.10/387.78 = 223.46/x
  3. Step 3: Cross multiply
    259.10x = 387.78 × 223.46
  4. Step 4: Simplify right side
    259.10x = 86,651.38
  5. Step 5: Solve for x
    x = 86,651.38/259.10
  6. Step 6: Final answer
    x = 334.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.