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Finding the Fourth Proportional to 515.39, 773.09 and 150.17

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Solution

The fourth proportional to 515.39, 773.09 and 150.17 is: 225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.39 : 773.09 = 150.17 : x
  2. Step 2: Convert to fraction form
    515.39/773.09 = 150.17/x
  3. Step 3: Cross multiply
    515.39x = 773.09 × 150.17
  4. Step 4: Simplify right side
    515.39x = 116,090.31
  5. Step 5: Solve for x
    x = 116,090.31/515.39
  6. Step 6: Final answer
    x = 225.25

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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.