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Finding the Fourth Proportional to 364.42, 546.46 and 133.27

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Solution

The fourth proportional to 364.42, 546.46 and 133.27 is: 199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 546.46 = 133.27 : x
  2. Step 2: Convert to fraction form
    364.42/546.46 = 133.27/x
  3. Step 3: Cross multiply
    364.42x = 546.46 × 133.27
  4. Step 4: Simplify right side
    364.42x = 72,826.72
  5. Step 5: Solve for x
    x = 72,826.72/364.42
  6. Step 6: Final answer
    x = 199.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.