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Finding the Fourth Proportional to 285.71, 394.00 and 197.05

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Solution

The fourth proportional to 285.71, 394.00 and 197.05 is: 271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.71 : 394.00 = 197.05 : x
  2. Step 2: Convert to fraction form
    285.71/394.00 = 197.05/x
  3. Step 3: Cross multiply
    285.71x = 394.00 × 197.05
  4. Step 4: Simplify right side
    285.71x = 77,638.07
  5. Step 5: Solve for x
    x = 77,638.07/285.71
  6. Step 6: Final answer
    x = 271.74

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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.