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Finding the Fourth Proportional to 248.47, 372.53 and 199.57

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Solution

The fourth proportional to 248.47, 372.53 and 199.57 is: 299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.47 : 372.53 = 199.57 : x
  2. Step 2: Convert to fraction form
    248.47/372.53 = 199.57/x
  3. Step 3: Cross multiply
    248.47x = 372.53 × 199.57
  4. Step 4: Simplify right side
    248.47x = 74,345.81
  5. Step 5: Solve for x
    x = 74,345.81/248.47
  6. Step 6: Final answer
    x = 299.21

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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.