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Finding the Fourth Proportional to 287.23, 396.34 and 169.19

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Solution

The fourth proportional to 287.23, 396.34 and 169.19 is: 233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.23 : 396.34 = 169.19 : x
  2. Step 2: Convert to fraction form
    287.23/396.34 = 169.19/x
  3. Step 3: Cross multiply
    287.23x = 396.34 × 169.19
  4. Step 4: Simplify right side
    287.23x = 67,056.76
  5. Step 5: Solve for x
    x = 67,056.76/287.23
  6. Step 6: Final answer
    x = 233.46

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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.