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Finding the Fourth Proportional to 516.40, 774.66 and 151.18

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Solution

The fourth proportional to 516.40, 774.66 and 151.18 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.40 : 774.66 = 151.18 : x
  2. Step 2: Convert to fraction form
    516.40/774.66 = 151.18/x
  3. Step 3: Cross multiply
    516.40x = 774.66 × 151.18
  4. Step 4: Simplify right side
    516.40x = 117,113.10
  5. Step 5: Solve for x
    x = 117,113.10/516.40
  6. Step 6: Final answer
    x = 226.79

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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.