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Finding the Fourth Proportional to 259.66, 357.32 and 209.44

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Solution

The fourth proportional to 259.66, 357.32 and 209.44 is: 288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.66 : 357.32 = 209.44 : x
  2. Step 2: Convert to fraction form
    259.66/357.32 = 209.44/x
  3. Step 3: Cross multiply
    259.66x = 357.32 × 209.44
  4. Step 4: Simplify right side
    259.66x = 74,837.10
  5. Step 5: Solve for x
    x = 74,837.10/259.66
  6. Step 6: Final answer
    x = 288.21

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Why These Related Problems?

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