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Finding the Fourth Proportional to 364.99, 547.69 and 133.84

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Solution

The fourth proportional to 364.99, 547.69 and 133.84 is: 200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.99 : 547.69 = 133.84 : x
  2. Step 2: Convert to fraction form
    364.99/547.69 = 133.84/x
  3. Step 3: Cross multiply
    364.99x = 547.69 × 133.84
  4. Step 4: Simplify right side
    364.99x = 73,304.38
  5. Step 5: Solve for x
    x = 73,304.38/364.99
  6. Step 6: Final answer
    x = 200.84

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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.