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Finding the Fourth Proportional to 248.14, 342.12 and 160.66

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Solution

The fourth proportional to 248.14, 342.12 and 160.66 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.14 : 342.12 = 160.66 : x
  2. Step 2: Convert to fraction form
    248.14/342.12 = 160.66/x
  3. Step 3: Cross multiply
    248.14x = 342.12 × 160.66
  4. Step 4: Simplify right side
    248.14x = 54,965.00
  5. Step 5: Solve for x
    x = 54,965.00/248.14
  6. Step 6: Final answer
    x = 221.51

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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.