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Finding the Fourth Proportional to 515.90, 773.87 and 150.68

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Solution

The fourth proportional to 515.90, 773.87 and 150.68 is: 226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.90 : 773.87 = 150.68 : x
  2. Step 2: Convert to fraction form
    515.90/773.87 = 150.68/x
  3. Step 3: Cross multiply
    515.90x = 773.87 × 150.68
  4. Step 4: Simplify right side
    515.90x = 116,602.11
  5. Step 5: Solve for x
    x = 116,602.11/515.90
  6. Step 6: Final answer
    x = 226.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.