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Finding the Fourth Proportional to 364.85, 547.31 and 133.67

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Solution

The fourth proportional to 364.85, 547.31 and 133.67 is: 200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.85 : 547.31 = 133.67 : x
  2. Step 2: Convert to fraction form
    364.85/547.31 = 133.67/x
  3. Step 3: Cross multiply
    364.85x = 547.31 × 133.67
  4. Step 4: Simplify right side
    364.85x = 73,158.93
  5. Step 5: Solve for x
    x = 73,158.93/364.85
  6. Step 6: Final answer
    x = 200.52

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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.