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Finding the Fourth Proportional to 364.22, 546.34 and 201.82

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Solution

The fourth proportional to 364.22, 546.34 and 201.82 is: 302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.22 : 546.34 = 201.82 : x
  2. Step 2: Convert to fraction form
    364.22/546.34 = 201.82/x
  3. Step 3: Cross multiply
    364.22x = 546.34 × 201.82
  4. Step 4: Simplify right side
    364.22x = 110,262.34
  5. Step 5: Solve for x
    x = 110,262.34/364.22
  6. Step 6: Final answer
    x = 302.74

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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.