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Finding the Fourth Proportional to 248.63, 343.13 and 216.81

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Solution

The fourth proportional to 248.63, 343.13 and 216.81 is: 299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.63 : 343.13 = 216.81 : x
  2. Step 2: Convert to fraction form
    248.63/343.13 = 216.81/x
  3. Step 3: Cross multiply
    248.63x = 343.13 × 216.81
  4. Step 4: Simplify right side
    248.63x = 74,392.93
  5. Step 5: Solve for x
    x = 74,392.93/248.63
  6. Step 6: Final answer
    x = 299.22

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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.