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Finding the Fourth Proportional to 366.60, 549.82 and 109.96

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Solution

The fourth proportional to 366.60, 549.82 and 109.96 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.60 : 549.82 = 109.96 : x
  2. Step 2: Convert to fraction form
    366.60/549.82 = 109.96/x
  3. Step 3: Cross multiply
    366.60x = 549.82 × 109.96
  4. Step 4: Simplify right side
    366.60x = 60,458.21
  5. Step 5: Solve for x
    x = 60,458.21/366.60
  6. Step 6: Final answer
    x = 164.92

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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.