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Finding the Fourth Proportional to 217.90, 300.44 and 184.64

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Solution

The fourth proportional to 217.90, 300.44 and 184.64 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.90 : 300.44 = 184.64 : x
  2. Step 2: Convert to fraction form
    217.90/300.44 = 184.64/x
  3. Step 3: Cross multiply
    217.90x = 300.44 × 184.64
  4. Step 4: Simplify right side
    217.90x = 55,473.24
  5. Step 5: Solve for x
    x = 55,473.24/217.90
  6. Step 6: Final answer
    x = 254.58

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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.