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Finding the Fourth Proportional to 366.14, 549.27 and 135.06

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Solution

The fourth proportional to 366.14, 549.27 and 135.06 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.14 : 549.27 = 135.06 : x
  2. Step 2: Convert to fraction form
    366.14/549.27 = 135.06/x
  3. Step 3: Cross multiply
    366.14x = 549.27 × 135.06
  4. Step 4: Simplify right side
    366.14x = 74,184.41
  5. Step 5: Solve for x
    x = 74,184.41/366.14
  6. Step 6: Final answer
    x = 202.61

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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.