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Finding the Fourth Proportional to 217, 325.04 and 135.74

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Solution

The fourth proportional to 217, 325.04 and 135.74 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217 : 325.04 = 135.74 : x
  2. Step 2: Convert to fraction form
    217/325.04 = 135.74/x
  3. Step 3: Cross multiply
    217x = 325.04 × 135.74
  4. Step 4: Simplify right side
    217x = 44,120.93
  5. Step 5: Solve for x
    x = 44,120.93/217
  6. Step 6: Final answer
    x = 203.32

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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.