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Finding the Fourth Proportional to 366.10, 548.26 and 192.91

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Solution

The fourth proportional to 366.10, 548.26 and 192.91 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 548.26 = 192.91 : x
  2. Step 2: Convert to fraction form
    366.10/548.26 = 192.91/x
  3. Step 3: Cross multiply
    366.10x = 548.26 × 192.91
  4. Step 4: Simplify right side
    366.10x = 105,763.87
  5. Step 5: Solve for x
    x = 105,763.87/366.10
  6. Step 6: Final answer
    x = 288.90

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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.