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Finding the Fourth Proportional to 248.31, 342.43 and 165.42

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Solution

The fourth proportional to 248.31, 342.43 and 165.42 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.31 : 342.43 = 165.42 : x
  2. Step 2: Convert to fraction form
    248.31/342.43 = 165.42/x
  3. Step 3: Cross multiply
    248.31x = 342.43 × 165.42
  4. Step 4: Simplify right side
    248.31x = 56,644.36
  5. Step 5: Solve for x
    x = 56,644.36/248.31
  6. Step 6: Final answer
    x = 228.12

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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.