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Finding the Fourth Proportional to 541.48, 812.13 and 151.51

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Solution

The fourth proportional to 541.48, 812.13 and 151.51 is: 227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.48 : 812.13 = 151.51 : x
  2. Step 2: Convert to fraction form
    541.48/812.13 = 151.51/x
  3. Step 3: Cross multiply
    541.48x = 812.13 × 151.51
  4. Step 4: Simplify right side
    541.48x = 123,045.82
  5. Step 5: Solve for x
    x = 123,045.82/541.48
  6. Step 6: Final answer
    x = 227.24

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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.