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Finding the Fourth Proportional to 366.39, 549.72 and 160.85

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Solution

The fourth proportional to 366.39, 549.72 and 160.85 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 549.72 = 160.85 : x
  2. Step 2: Convert to fraction form
    366.39/549.72 = 160.85/x
  3. Step 3: Cross multiply
    366.39x = 549.72 × 160.85
  4. Step 4: Simplify right side
    366.39x = 88,423.84
  5. Step 5: Solve for x
    x = 88,423.84/366.39
  6. Step 6: Final answer
    x = 241.34

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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.