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Finding the Fourth Proportional to 366.87, 549.87 and 174.09

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Solution

The fourth proportional to 366.87, 549.87 and 174.09 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.87 : 549.87 = 174.09 : x
  2. Step 2: Convert to fraction form
    366.87/549.87 = 174.09/x
  3. Step 3: Cross multiply
    366.87x = 549.87 × 174.09
  4. Step 4: Simplify right side
    366.87x = 95,726.87
  5. Step 5: Solve for x
    x = 95,726.87/366.87
  6. Step 6: Final answer
    x = 260.93

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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.