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Finding the Fourth Proportional to 248.64, 343.44 and 216.48

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Solution

The fourth proportional to 248.64, 343.44 and 216.48 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 343.44 = 216.48 : x
  2. Step 2: Convert to fraction form
    248.64/343.44 = 216.48/x
  3. Step 3: Cross multiply
    248.64x = 343.44 × 216.48
  4. Step 4: Simplify right side
    248.64x = 74,347.89
  5. Step 5: Solve for x
    x = 74,347.89/248.64
  6. Step 6: Final answer
    x = 299.02

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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.