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Finding the Fourth Proportional to 541.97, 812.86 and 151.93

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Solution

The fourth proportional to 541.97, 812.86 and 151.93 is: 227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.97 : 812.86 = 151.93 : x
  2. Step 2: Convert to fraction form
    541.97/812.86 = 151.93/x
  3. Step 3: Cross multiply
    541.97x = 812.86 × 151.93
  4. Step 4: Simplify right side
    541.97x = 123,499.45
  5. Step 5: Solve for x
    x = 123,499.45/541.97
  6. Step 6: Final answer
    x = 227.87

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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.