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Finding the Fourth Proportional to 511.04, 766.68 and 145.83

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Solution

The fourth proportional to 511.04, 766.68 and 145.83 is: 218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.04 : 766.68 = 145.83 : x
  2. Step 2: Convert to fraction form
    511.04/766.68 = 145.83/x
  3. Step 3: Cross multiply
    511.04x = 766.68 × 145.83
  4. Step 4: Simplify right side
    511.04x = 111,804.94
  5. Step 5: Solve for x
    x = 111,804.94/511.04
  6. Step 6: Final answer
    x = 218.78

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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.