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Finding the Fourth Proportional to 314.36, 471.52 and 168.42

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Solution

The fourth proportional to 314.36, 471.52 and 168.42 is: 252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.36 : 471.52 = 168.42 : x
  2. Step 2: Convert to fraction form
    314.36/471.52 = 168.42/x
  3. Step 3: Cross multiply
    314.36x = 471.52 × 168.42
  4. Step 4: Simplify right side
    314.36x = 79,413.40
  5. Step 5: Solve for x
    x = 79,413.40/314.36
  6. Step 6: Final answer
    x = 252.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.