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Finding the Fourth Proportional to 366.65, 549.96 and 123.17

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Solution

The fourth proportional to 366.65, 549.96 and 123.17 is: 184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.65 : 549.96 = 123.17 : x
  2. Step 2: Convert to fraction form
    366.65/549.96 = 123.17/x
  3. Step 3: Cross multiply
    366.65x = 549.96 × 123.17
  4. Step 4: Simplify right side
    366.65x = 67,735.21
  5. Step 5: Solve for x
    x = 67,735.21/366.65
  6. Step 6: Final answer
    x = 184.74

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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.