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Finding the Fourth Proportional to 259.90, 390.23 and 202.22

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Solution

The fourth proportional to 259.90, 390.23 and 202.22 is: 303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.90 : 390.23 = 202.22 : x
  2. Step 2: Convert to fraction form
    259.90/390.23 = 202.22/x
  3. Step 3: Cross multiply
    259.90x = 390.23 × 202.22
  4. Step 4: Simplify right side
    259.90x = 78,912.31
  5. Step 5: Solve for x
    x = 78,912.31/259.90
  6. Step 6: Final answer
    x = 303.63

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Why These Related Problems?

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