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Finding the Fourth Proportional to 248.72, 343.30 and 175.06

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Solution

The fourth proportional to 248.72, 343.30 and 175.06 is: 241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.72 : 343.30 = 175.06 : x
  2. Step 2: Convert to fraction form
    248.72/343.30 = 175.06/x
  3. Step 3: Cross multiply
    248.72x = 343.30 × 175.06
  4. Step 4: Simplify right side
    248.72x = 60,098.10
  5. Step 5: Solve for x
    x = 60,098.10/248.72
  6. Step 6: Final answer
    x = 241.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.