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Finding the Fourth Proportional to 268.44, 370.36 and 170.16

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Solution

The fourth proportional to 268.44, 370.36 and 170.16 is: 234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.44 : 370.36 = 170.16 : x
  2. Step 2: Convert to fraction form
    268.44/370.36 = 170.16/x
  3. Step 3: Cross multiply
    268.44x = 370.36 × 170.16
  4. Step 4: Simplify right side
    268.44x = 63,020.46
  5. Step 5: Solve for x
    x = 63,020.46/268.44
  6. Step 6: Final answer
    x = 234.77

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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.