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Finding the Fourth Proportional to 366.54, 547.50 and 268.17

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Solution

The fourth proportional to 366.54, 547.50 and 268.17 is: 400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.54 : 547.50 = 268.17 : x
  2. Step 2: Convert to fraction form
    366.54/547.50 = 268.17/x
  3. Step 3: Cross multiply
    366.54x = 547.50 × 268.17
  4. Step 4: Simplify right side
    366.54x = 146,823.08
  5. Step 5: Solve for x
    x = 146,823.08/366.54
  6. Step 6: Final answer
    x = 400.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.