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Finding the Fourth Proportional to 366.71, 549.70 and 123.04

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Solution

The fourth proportional to 366.71, 549.70 and 123.04 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.71 : 549.70 = 123.04 : x
  2. Step 2: Convert to fraction form
    366.71/549.70 = 123.04/x
  3. Step 3: Cross multiply
    366.71x = 549.70 × 123.04
  4. Step 4: Simplify right side
    366.71x = 67,633.41
  5. Step 5: Solve for x
    x = 67,633.41/366.71
  6. Step 6: Final answer
    x = 184.43

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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.