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Finding the Fourth Proportional to 366.30, 549.32 and 135.14

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Solution

The fourth proportional to 366.30, 549.32 and 135.14 is: 202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.30 : 549.32 = 135.14 : x
  2. Step 2: Convert to fraction form
    366.30/549.32 = 135.14/x
  3. Step 3: Cross multiply
    366.30x = 549.32 × 135.14
  4. Step 4: Simplify right side
    366.30x = 74,231.68
  5. Step 5: Solve for x
    x = 74,231.68/366.30
  6. Step 6: Final answer
    x = 202.65

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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.