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Finding the Fourth Proportional to 235.80, 326.16 and 223.74

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Solution

The fourth proportional to 235.80, 326.16 and 223.74 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 326.16 = 223.74 : x
  2. Step 2: Convert to fraction form
    235.80/326.16 = 223.74/x
  3. Step 3: Cross multiply
    235.80x = 326.16 × 223.74
  4. Step 4: Simplify right side
    235.80x = 72,975.04
  5. Step 5: Solve for x
    x = 72,975.04/235.80
  6. Step 6: Final answer
    x = 309.48

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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.