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Finding the Fourth Proportional to 366.06, 549.19 and 109.56

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Solution

The fourth proportional to 366.06, 549.19 and 109.56 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.06 : 549.19 = 109.56 : x
  2. Step 2: Convert to fraction form
    366.06/549.19 = 109.56/x
  3. Step 3: Cross multiply
    366.06x = 549.19 × 109.56
  4. Step 4: Simplify right side
    366.06x = 60,170.08
  5. Step 5: Solve for x
    x = 60,170.08/366.06
  6. Step 6: Final answer
    x = 164.37

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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.