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Finding the Fourth Proportional to 364.53, 546.80 and 133.59

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Solution

The fourth proportional to 364.53, 546.80 and 133.59 is: 200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.53 : 546.80 = 133.59 : x
  2. Step 2: Convert to fraction form
    364.53/546.80 = 133.59/x
  3. Step 3: Cross multiply
    364.53x = 546.80 × 133.59
  4. Step 4: Simplify right side
    364.53x = 73,047.35
  5. Step 5: Solve for x
    x = 73,047.35/364.53
  6. Step 6: Final answer
    x = 200.39

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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.