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Finding the Fourth Proportional to 287.16, 396.24 and 170.68

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Solution

The fourth proportional to 287.16, 396.24 and 170.68 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 396.24 = 170.68 : x
  2. Step 2: Convert to fraction form
    287.16/396.24 = 170.68/x
  3. Step 3: Cross multiply
    287.16x = 396.24 × 170.68
  4. Step 4: Simplify right side
    287.16x = 67,630.24
  5. Step 5: Solve for x
    x = 67,630.24/287.16
  6. Step 6: Final answer
    x = 235.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.