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Finding the Fourth Proportional to 217.72, 300.84 and 174.40

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Solution

The fourth proportional to 217.72, 300.84 and 174.40 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.72 : 300.84 = 174.40 : x
  2. Step 2: Convert to fraction form
    217.72/300.84 = 174.40/x
  3. Step 3: Cross multiply
    217.72x = 300.84 × 174.40
  4. Step 4: Simplify right side
    217.72x = 52,466.50
  5. Step 5: Solve for x
    x = 52,466.50/217.72
  6. Step 6: Final answer
    x = 240.98

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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.