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Finding the Fourth Proportional to 366.52, 549.66 and 110.02

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Solution

The fourth proportional to 366.52, 549.66 and 110.02 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.52 : 549.66 = 110.02 : x
  2. Step 2: Convert to fraction form
    366.52/549.66 = 110.02/x
  3. Step 3: Cross multiply
    366.52x = 549.66 × 110.02
  4. Step 4: Simplify right side
    366.52x = 60,473.59
  5. Step 5: Solve for x
    x = 60,473.59/366.52
  6. Step 6: Final answer
    x = 164.99

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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.