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Finding the Fourth Proportional to 248.36, 342.50 and 182.88

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Solution

The fourth proportional to 248.36, 342.50 and 182.88 is: 252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 342.50 = 182.88 : x
  2. Step 2: Convert to fraction form
    248.36/342.50 = 182.88/x
  3. Step 3: Cross multiply
    248.36x = 342.50 × 182.88
  4. Step 4: Simplify right side
    248.36x = 62,635.49
  5. Step 5: Solve for x
    x = 62,635.49/248.36
  6. Step 6: Final answer
    x = 252.20

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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.