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Finding the Fourth Proportional to 248.43, 342.84 and 137.91

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Solution

The fourth proportional to 248.43, 342.84 and 137.91 is: 190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.43 : 342.84 = 137.91 : x
  2. Step 2: Convert to fraction form
    248.43/342.84 = 137.91/x
  3. Step 3: Cross multiply
    248.43x = 342.84 × 137.91
  4. Step 4: Simplify right side
    248.43x = 47,281.06
  5. Step 5: Solve for x
    x = 47,281.06/248.43
  6. Step 6: Final answer
    x = 190.32

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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.