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Finding the Fourth Proportional to 366.83, 549.86 and 171.61

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Solution

The fourth proportional to 366.83, 549.86 and 171.61 is: 257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.83 : 549.86 = 171.61 : x
  2. Step 2: Convert to fraction form
    366.83/549.86 = 171.61/x
  3. Step 3: Cross multiply
    366.83x = 549.86 × 171.61
  4. Step 4: Simplify right side
    366.83x = 94,358.73
  5. Step 5: Solve for x
    x = 94,358.73/366.83
  6. Step 6: Final answer
    x = 257.23

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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.