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Finding the Fourth Proportional to 366.15, 549.44 and 203.82

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Solution

The fourth proportional to 366.15, 549.44 and 203.82 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.15 : 549.44 = 203.82 : x
  2. Step 2: Convert to fraction form
    366.15/549.44 = 203.82/x
  3. Step 3: Cross multiply
    366.15x = 549.44 × 203.82
  4. Step 4: Simplify right side
    366.15x = 111,985.84
  5. Step 5: Solve for x
    x = 111,985.84/366.15
  6. Step 6: Final answer
    x = 305.85

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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.