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Finding the Fourth Proportional to 217.74, 326.04 and 152.64

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Solution

The fourth proportional to 217.74, 326.04 and 152.64 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 326.04 = 152.64 : x
  2. Step 2: Convert to fraction form
    217.74/326.04 = 152.64/x
  3. Step 3: Cross multiply
    217.74x = 326.04 × 152.64
  4. Step 4: Simplify right side
    217.74x = 49,766.75
  5. Step 5: Solve for x
    x = 49,766.75/217.74
  6. Step 6: Final answer
    x = 228.56

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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.