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Finding the Fourth Proportional to 366.47, 549.71 and 109.97

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Solution

The fourth proportional to 366.47, 549.71 and 109.97 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.47 : 549.71 = 109.97 : x
  2. Step 2: Convert to fraction form
    366.47/549.71 = 109.97/x
  3. Step 3: Cross multiply
    366.47x = 549.71 × 109.97
  4. Step 4: Simplify right side
    366.47x = 60,451.06
  5. Step 5: Solve for x
    x = 60,451.06/366.47
  6. Step 6: Final answer
    x = 164.96

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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.