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Finding the Fourth Proportional to 396.65, 595.00 and 136.67

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Solution

The fourth proportional to 396.65, 595.00 and 136.67 is: 205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.65 : 595.00 = 136.67 : x
  2. Step 2: Convert to fraction form
    396.65/595.00 = 136.67/x
  3. Step 3: Cross multiply
    396.65x = 595.00 × 136.67
  4. Step 4: Simplify right side
    396.65x = 81,318.42
  5. Step 5: Solve for x
    x = 81,318.42/396.65
  6. Step 6: Final answer
    x = 205.01

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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.