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Finding the Fourth Proportional to 217.58, 325.20 and 189.94

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Solution

The fourth proportional to 217.58, 325.20 and 189.94 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.58 : 325.20 = 189.94 : x
  2. Step 2: Convert to fraction form
    217.58/325.20 = 189.94/x
  3. Step 3: Cross multiply
    217.58x = 325.20 × 189.94
  4. Step 4: Simplify right side
    217.58x = 61,768.49
  5. Step 5: Solve for x
    x = 61,768.49/217.58
  6. Step 6: Final answer
    x = 283.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.