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Finding the Fourth Proportional to 515.09, 772.56 and 149.79

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Solution

The fourth proportional to 515.09, 772.56 and 149.79 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.09 : 772.56 = 149.79 : x
  2. Step 2: Convert to fraction form
    515.09/772.56 = 149.79/x
  3. Step 3: Cross multiply
    515.09x = 772.56 × 149.79
  4. Step 4: Simplify right side
    515.09x = 115,724.10
  5. Step 5: Solve for x
    x = 115,724.10/515.09
  6. Step 6: Final answer
    x = 224.67

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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.