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Finding the Fourth Proportional to 268.43, 370.32 and 170.16

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Solution

The fourth proportional to 268.43, 370.32 and 170.16 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.43 : 370.32 = 170.16 : x
  2. Step 2: Convert to fraction form
    268.43/370.32 = 170.16/x
  3. Step 3: Cross multiply
    268.43x = 370.32 × 170.16
  4. Step 4: Simplify right side
    268.43x = 63,013.65
  5. Step 5: Solve for x
    x = 63,013.65/268.43
  6. Step 6: Final answer
    x = 234.75

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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.