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Finding the Fourth Proportional to 217.80, 300.64 and 134.96

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Solution

The fourth proportional to 217.80, 300.64 and 134.96 is: 186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.80 : 300.64 = 134.96 : x
  2. Step 2: Convert to fraction form
    217.80/300.64 = 134.96/x
  3. Step 3: Cross multiply
    217.80x = 300.64 × 134.96
  4. Step 4: Simplify right side
    217.80x = 40,574.37
  5. Step 5: Solve for x
    x = 40,574.37/217.80
  6. Step 6: Final answer
    x = 186.29

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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.