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Finding the Fourth Proportional to 511.23, 766.87 and 146.03

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Solution

The fourth proportional to 511.23, 766.87 and 146.03 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.23 : 766.87 = 146.03 : x
  2. Step 2: Convert to fraction form
    511.23/766.87 = 146.03/x
  3. Step 3: Cross multiply
    511.23x = 766.87 × 146.03
  4. Step 4: Simplify right side
    511.23x = 111,981.83
  5. Step 5: Solve for x
    x = 111,981.83/511.23
  6. Step 6: Final answer
    x = 219.04

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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.