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Finding the Fourth Proportional to 366.10, 549.15 and 229.08

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Solution

The fourth proportional to 366.10, 549.15 and 229.08 is: 343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 549.15 = 229.08 : x
  2. Step 2: Convert to fraction form
    366.10/549.15 = 229.08/x
  3. Step 3: Cross multiply
    366.10x = 549.15 × 229.08
  4. Step 4: Simplify right side
    366.10x = 125,799.28
  5. Step 5: Solve for x
    x = 125,799.28/366.10
  6. Step 6: Final answer
    x = 343.62

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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.