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Finding the Fourth Proportional to 366.54, 505.94 and 250.17

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Solution

The fourth proportional to 366.54, 505.94 and 250.17 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.54 : 505.94 = 250.17 : x
  2. Step 2: Convert to fraction form
    366.54/505.94 = 250.17/x
  3. Step 3: Cross multiply
    366.54x = 505.94 × 250.17
  4. Step 4: Simplify right side
    366.54x = 126,569.76
  5. Step 5: Solve for x
    x = 126,569.76/366.54
  6. Step 6: Final answer
    x = 345.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.