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Finding the Fourth Proportional to 364.65, 546.81 and 133.47

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Solution

The fourth proportional to 364.65, 546.81 and 133.47 is: 200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.65 : 546.81 = 133.47 : x
  2. Step 2: Convert to fraction form
    364.65/546.81 = 133.47/x
  3. Step 3: Cross multiply
    364.65x = 546.81 × 133.47
  4. Step 4: Simplify right side
    364.65x = 72,982.73
  5. Step 5: Solve for x
    x = 72,982.73/364.65
  6. Step 6: Final answer
    x = 200.14

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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.