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Finding the Fourth Proportional to 362.77, 544.00 and 140.27

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Solution

The fourth proportional to 362.77, 544.00 and 140.27 is: 210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.77 : 544.00 = 140.27 : x
  2. Step 2: Convert to fraction form
    362.77/544.00 = 140.27/x
  3. Step 3: Cross multiply
    362.77x = 544.00 × 140.27
  4. Step 4: Simplify right side
    362.77x = 76,306.18
  5. Step 5: Solve for x
    x = 76,306.18/362.77
  6. Step 6: Final answer
    x = 210.35

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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.