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Finding the Fourth Proportional to 217.05, 297.90 and 193.20

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Solution

The fourth proportional to 217.05, 297.90 and 193.20 is: 265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.05 : 297.90 = 193.20 : x
  2. Step 2: Convert to fraction form
    217.05/297.90 = 193.20/x
  3. Step 3: Cross multiply
    217.05x = 297.90 × 193.20
  4. Step 4: Simplify right side
    217.05x = 57,554.28
  5. Step 5: Solve for x
    x = 57,554.28/217.05
  6. Step 6: Final answer
    x = 265.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.