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Finding the Fourth Proportional to 269.36, 370.46 and 216.28

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Solution

The fourth proportional to 269.36, 370.46 and 216.28 is: 297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.36 : 370.46 = 216.28 : x
  2. Step 2: Convert to fraction form
    269.36/370.46 = 216.28/x
  3. Step 3: Cross multiply
    269.36x = 370.46 × 216.28
  4. Step 4: Simplify right side
    269.36x = 80,123.09
  5. Step 5: Solve for x
    x = 80,123.09/269.36
  6. Step 6: Final answer
    x = 297.46

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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.