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Finding the Fourth Proportional to 248.36, 342.76 and 143.46

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Solution

The fourth proportional to 248.36, 342.76 and 143.46 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 342.76 = 143.46 : x
  2. Step 2: Convert to fraction form
    248.36/342.76 = 143.46/x
  3. Step 3: Cross multiply
    248.36x = 342.76 × 143.46
  4. Step 4: Simplify right side
    248.36x = 49,172.35
  5. Step 5: Solve for x
    x = 49,172.35/248.36
  6. Step 6: Final answer
    x = 197.99

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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.