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Finding the Fourth Proportional to 364.96, 547.29 and 133.78

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Solution

The fourth proportional to 364.96, 547.29 and 133.78 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.96 : 547.29 = 133.78 : x
  2. Step 2: Convert to fraction form
    364.96/547.29 = 133.78/x
  3. Step 3: Cross multiply
    364.96x = 547.29 × 133.78
  4. Step 4: Simplify right side
    364.96x = 73,216.46
  5. Step 5: Solve for x
    x = 73,216.46/364.96
  6. Step 6: Final answer
    x = 200.62

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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.