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Finding the Fourth Proportional to 248.04, 372.16 and 199.24

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Solution

The fourth proportional to 248.04, 372.16 and 199.24 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.04 : 372.16 = 199.24 : x
  2. Step 2: Convert to fraction form
    248.04/372.16 = 199.24/x
  3. Step 3: Cross multiply
    248.04x = 372.16 × 199.24
  4. Step 4: Simplify right side
    248.04x = 74,149.16
  5. Step 5: Solve for x
    x = 74,149.16/248.04
  6. Step 6: Final answer
    x = 298.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.