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Finding the Fourth Proportional to 364.50, 546.75 and 133.39

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Solution

The fourth proportional to 364.50, 546.75 and 133.39 is: 200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 546.75 = 133.39 : x
  2. Step 2: Convert to fraction form
    364.50/546.75 = 133.39/x
  3. Step 3: Cross multiply
    364.50x = 546.75 × 133.39
  4. Step 4: Simplify right side
    364.50x = 72,930.98
  5. Step 5: Solve for x
    x = 72,930.98/364.50
  6. Step 6: Final answer
    x = 200.09

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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.