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Finding the Fourth Proportional to 259.10, 389.04 and 205.22

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Solution

The fourth proportional to 259.10, 389.04 and 205.22 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 389.04 = 205.22 : x
  2. Step 2: Convert to fraction form
    259.10/389.04 = 205.22/x
  3. Step 3: Cross multiply
    259.10x = 389.04 × 205.22
  4. Step 4: Simplify right side
    259.10x = 79,838.79
  5. Step 5: Solve for x
    x = 79,838.79/259.10
  6. Step 6: Final answer
    x = 308.14

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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.