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Finding the Fourth Proportional to 285.88, 394.34 and 197.32

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Solution

The fourth proportional to 285.88, 394.34 and 197.32 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 394.34 = 197.32 : x
  2. Step 2: Convert to fraction form
    285.88/394.34 = 197.32/x
  3. Step 3: Cross multiply
    285.88x = 394.34 × 197.32
  4. Step 4: Simplify right side
    285.88x = 77,811.17
  5. Step 5: Solve for x
    x = 77,811.17/285.88
  6. Step 6: Final answer
    x = 272.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.