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Finding the Fourth Proportional to 515.84, 773.64 and 150.53

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Solution

The fourth proportional to 515.84, 773.64 and 150.53 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 773.64 = 150.53 : x
  2. Step 2: Convert to fraction form
    515.84/773.64 = 150.53/x
  3. Step 3: Cross multiply
    515.84x = 773.64 × 150.53
  4. Step 4: Simplify right side
    515.84x = 116,452.16
  5. Step 5: Solve for x
    x = 116,452.16/515.84
  6. Step 6: Final answer
    x = 225.75

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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.