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Finding the Fourth Proportional to 285.52, 394.04 and 198.60

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Solution

The fourth proportional to 285.52, 394.04 and 198.60 is: 274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.52 : 394.04 = 198.60 : x
  2. Step 2: Convert to fraction form
    285.52/394.04 = 198.60/x
  3. Step 3: Cross multiply
    285.52x = 394.04 × 198.60
  4. Step 4: Simplify right side
    285.52x = 78,256.34
  5. Step 5: Solve for x
    x = 78,256.34/285.52
  6. Step 6: Final answer
    x = 274.08

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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.