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Finding the Fourth Proportional to 524.14, 786.12 and 199.42

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Solution

The fourth proportional to 524.14, 786.12 and 199.42 is: 299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 786.12 = 199.42 : x
  2. Step 2: Convert to fraction form
    524.14/786.12 = 199.42/x
  3. Step 3: Cross multiply
    524.14x = 786.12 × 199.42
  4. Step 4: Simplify right side
    524.14x = 156,768.05
  5. Step 5: Solve for x
    x = 156,768.05/524.14
  6. Step 6: Final answer
    x = 299.10

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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.