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Finding the Fourth Proportional to 235.78, 325.19 and 209.23

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Solution

The fourth proportional to 235.78, 325.19 and 209.23 is: 288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 325.19 = 209.23 : x
  2. Step 2: Convert to fraction form
    235.78/325.19 = 209.23/x
  3. Step 3: Cross multiply
    235.78x = 325.19 × 209.23
  4. Step 4: Simplify right side
    235.78x = 68,039.21
  5. Step 5: Solve for x
    x = 68,039.21/235.78
  6. Step 6: Final answer
    x = 288.57

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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.