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Finding the Fourth Proportional to 285.55, 428.02 and 194.24

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Solution

The fourth proportional to 285.55, 428.02 and 194.24 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.55 : 428.02 = 194.24 : x
  2. Step 2: Convert to fraction form
    285.55/428.02 = 194.24/x
  3. Step 3: Cross multiply
    285.55x = 428.02 × 194.24
  4. Step 4: Simplify right side
    285.55x = 83,138.60
  5. Step 5: Solve for x
    x = 83,138.60/285.55
  6. Step 6: Final answer
    x = 291.15

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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.