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Finding the Fourth Proportional to 364.01, 546.15 and 169.10

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Solution

The fourth proportional to 364.01, 546.15 and 169.10 is: 253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.01 : 546.15 = 169.10 : x
  2. Step 2: Convert to fraction form
    364.01/546.15 = 169.10/x
  3. Step 3: Cross multiply
    364.01x = 546.15 × 169.10
  4. Step 4: Simplify right side
    364.01x = 92,353.97
  5. Step 5: Solve for x
    x = 92,353.97/364.01
  6. Step 6: Final answer
    x = 253.71

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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.