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Finding the Fourth Proportional to 235.40, 324.69 and 206.24

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Solution

The fourth proportional to 235.40, 324.69 and 206.24 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 324.69 = 206.24 : x
  2. Step 2: Convert to fraction form
    235.40/324.69 = 206.24/x
  3. Step 3: Cross multiply
    235.40x = 324.69 × 206.24
  4. Step 4: Simplify right side
    235.40x = 66,964.07
  5. Step 5: Solve for x
    x = 66,964.07/235.40
  6. Step 6: Final answer
    x = 284.47

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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.