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Finding the Fourth Proportional to 252.95, 378.99 and 166.16

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Solution

The fourth proportional to 252.95, 378.99 and 166.16 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 378.99 = 166.16 : x
  2. Step 2: Convert to fraction form
    252.95/378.99 = 166.16/x
  3. Step 3: Cross multiply
    252.95x = 378.99 × 166.16
  4. Step 4: Simplify right side
    252.95x = 62,971.08
  5. Step 5: Solve for x
    x = 62,971.08/252.95
  6. Step 6: Final answer
    x = 248.95

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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.