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Finding the Fourth Proportional to 366.82, 549.74 and 135.50

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Solution

The fourth proportional to 366.82, 549.74 and 135.50 is: 203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 549.74 = 135.50 : x
  2. Step 2: Convert to fraction form
    366.82/549.74 = 135.50/x
  3. Step 3: Cross multiply
    366.82x = 549.74 × 135.50
  4. Step 4: Simplify right side
    366.82x = 74,486.68
  5. Step 5: Solve for x
    x = 74,486.68/366.82
  6. Step 6: Final answer
    x = 203.06

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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.