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Finding the Fourth Proportional to 248.74, 374.24 and 197.93

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Solution

The fourth proportional to 248.74, 374.24 and 197.93 is: 297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.74 : 374.24 = 197.93 : x
  2. Step 2: Convert to fraction form
    248.74/374.24 = 197.93/x
  3. Step 3: Cross multiply
    248.74x = 374.24 × 197.93
  4. Step 4: Simplify right side
    248.74x = 74,074.75
  5. Step 5: Solve for x
    x = 74,074.75/248.74
  6. Step 6: Final answer
    x = 297.80

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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.