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Finding the Fourth Proportional to 248.72, 343.35 and 225.32

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Solution

The fourth proportional to 248.72, 343.35 and 225.32 is: 311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.72 : 343.35 = 225.32 : x
  2. Step 2: Convert to fraction form
    248.72/343.35 = 225.32/x
  3. Step 3: Cross multiply
    248.72x = 343.35 × 225.32
  4. Step 4: Simplify right side
    248.72x = 77,363.62
  5. Step 5: Solve for x
    x = 77,363.62/248.72
  6. Step 6: Final answer
    x = 311.05

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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.