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Finding the Fourth Proportional to 285.22, 393.75 and 197.74

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Solution

The fourth proportional to 285.22, 393.75 and 197.74 is: 272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.22 : 393.75 = 197.74 : x
  2. Step 2: Convert to fraction form
    285.22/393.75 = 197.74/x
  3. Step 3: Cross multiply
    285.22x = 393.75 × 197.74
  4. Step 4: Simplify right side
    285.22x = 77,857.17
  5. Step 5: Solve for x
    x = 77,857.17/285.22
  6. Step 6: Final answer
    x = 272.98

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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.