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Finding the Fourth Proportional to 364.66, 547.20 and 200.14

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Solution

The fourth proportional to 364.66, 547.20 and 200.14 is: 300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.66 : 547.20 = 200.14 : x
  2. Step 2: Convert to fraction form
    364.66/547.20 = 200.14/x
  3. Step 3: Cross multiply
    364.66x = 547.20 × 200.14
  4. Step 4: Simplify right side
    364.66x = 109,515.24
  5. Step 5: Solve for x
    x = 109,515.24/364.66
  6. Step 6: Final answer
    x = 300.32

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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.