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Finding the Fourth Proportional to 248.48, 343.02 and 148.93

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Solution

The fourth proportional to 248.48, 343.02 and 148.93 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.48 : 343.02 = 148.93 : x
  2. Step 2: Convert to fraction form
    248.48/343.02 = 148.93/x
  3. Step 3: Cross multiply
    248.48x = 343.02 × 148.93
  4. Step 4: Simplify right side
    248.48x = 51,085.97
  5. Step 5: Solve for x
    x = 51,085.97/248.48
  6. Step 6: Final answer
    x = 205.59

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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.