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Finding the Fourth Proportional to 248.02, 342.21 and 154.78

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Solution

The fourth proportional to 248.02, 342.21 and 154.78 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.02 : 342.21 = 154.78 : x
  2. Step 2: Convert to fraction form
    248.02/342.21 = 154.78/x
  3. Step 3: Cross multiply
    248.02x = 342.21 × 154.78
  4. Step 4: Simplify right side
    248.02x = 52,967.26
  5. Step 5: Solve for x
    x = 52,967.26/248.02
  6. Step 6: Final answer
    x = 213.56

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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.