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Finding the Fourth Proportional to 248.42, 342.81 and 143.53

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Solution

The fourth proportional to 248.42, 342.81 and 143.53 is: 198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.42 : 342.81 = 143.53 : x
  2. Step 2: Convert to fraction form
    248.42/342.81 = 143.53/x
  3. Step 3: Cross multiply
    248.42x = 342.81 × 143.53
  4. Step 4: Simplify right side
    248.42x = 49,202.66
  5. Step 5: Solve for x
    x = 49,202.66/248.42
  6. Step 6: Final answer
    x = 198.06

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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.