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Finding the Fourth Proportional to 248.66, 373.84 and 197.94

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Solution

The fourth proportional to 248.66, 373.84 and 197.94 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.66 : 373.84 = 197.94 : x
  2. Step 2: Convert to fraction form
    248.66/373.84 = 197.94/x
  3. Step 3: Cross multiply
    248.66x = 373.84 × 197.94
  4. Step 4: Simplify right side
    248.66x = 73,997.89
  5. Step 5: Solve for x
    x = 73,997.89/248.66
  6. Step 6: Final answer
    x = 297.59

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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.