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Finding the Fourth Proportional to 248.64, 342.72 and 229.44

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Solution

The fourth proportional to 248.64, 342.72 and 229.44 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 342.72 = 229.44 : x
  2. Step 2: Convert to fraction form
    248.64/342.72 = 229.44/x
  3. Step 3: Cross multiply
    248.64x = 342.72 × 229.44
  4. Step 4: Simplify right side
    248.64x = 78,633.68
  5. Step 5: Solve for x
    x = 78,633.68/248.64
  6. Step 6: Final answer
    x = 316.26

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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.