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Finding the Fourth Proportional to 511.37, 767.04 and 141.18

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Solution

The fourth proportional to 511.37, 767.04 and 141.18 is: 211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.37 : 767.04 = 141.18 : x
  2. Step 2: Convert to fraction form
    511.37/767.04 = 141.18/x
  3. Step 3: Cross multiply
    511.37x = 767.04 × 141.18
  4. Step 4: Simplify right side
    511.37x = 108,288.36
  5. Step 5: Solve for x
    x = 108,288.36/511.37
  6. Step 6: Final answer
    x = 211.76

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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.