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Finding the Fourth Proportional to 541.24, 811.90 and 156.52

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Solution

The fourth proportional to 541.24, 811.90 and 156.52 is: 234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.24 : 811.90 = 156.52 : x
  2. Step 2: Convert to fraction form
    541.24/811.90 = 156.52/x
  3. Step 3: Cross multiply
    541.24x = 811.90 × 156.52
  4. Step 4: Simplify right side
    541.24x = 127,078.59
  5. Step 5: Solve for x
    x = 127,078.59/541.24
  6. Step 6: Final answer
    x = 234.79

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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.