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Finding the Fourth Proportional to 515.74, 773.66 and 150.56

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Solution

The fourth proportional to 515.74, 773.66 and 150.56 is: 225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.74 : 773.66 = 150.56 : x
  2. Step 2: Convert to fraction form
    515.74/773.66 = 150.56/x
  3. Step 3: Cross multiply
    515.74x = 773.66 × 150.56
  4. Step 4: Simplify right side
    515.74x = 116,482.25
  5. Step 5: Solve for x
    x = 116,482.25/515.74
  6. Step 6: Final answer
    x = 225.85

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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.