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Finding the Fourth Proportional to 248.04, 342.23 and 182.43

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Solution

The fourth proportional to 248.04, 342.23 and 182.43 is: 251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.04 : 342.23 = 182.43 : x
  2. Step 2: Convert to fraction form
    248.04/342.23 = 182.43/x
  3. Step 3: Cross multiply
    248.04x = 342.23 × 182.43
  4. Step 4: Simplify right side
    248.04x = 62,432.11
  5. Step 5: Solve for x
    x = 62,432.11/248.04
  6. Step 6: Final answer
    x = 251.70

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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.