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Finding the Fourth Proportional to 366.46, 549.80 and 150.05

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Solution

The fourth proportional to 366.46, 549.80 and 150.05 is: 225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.46 : 549.80 = 150.05 : x
  2. Step 2: Convert to fraction form
    366.46/549.80 = 150.05/x
  3. Step 3: Cross multiply
    366.46x = 549.80 × 150.05
  4. Step 4: Simplify right side
    366.46x = 82,498.68
  5. Step 5: Solve for x
    x = 82,498.68/366.46
  6. Step 6: Final answer
    x = 225.12

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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.