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Finding the Fourth Proportional to 362.76, 544 and 131.57

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Solution

The fourth proportional to 362.76, 544 and 131.57 is: 197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 544 = 131.57 : x
  2. Step 2: Convert to fraction form
    362.76/544 = 131.57/x
  3. Step 3: Cross multiply
    362.76x = 544 × 131.57
  4. Step 4: Simplify right side
    362.76x = 71,574.08
  5. Step 5: Solve for x
    x = 71,574.08/362.76
  6. Step 6: Final answer
    x = 197.30

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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.