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Finding the Fourth Proportional to 566.92, 850.16 and 242.20

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Solution

The fourth proportional to 566.92, 850.16 and 242.20 is: 363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 850.16 = 242.20 : x
  2. Step 2: Convert to fraction form
    566.92/850.16 = 242.20/x
  3. Step 3: Cross multiply
    566.92x = 850.16 × 242.20
  4. Step 4: Simplify right side
    566.92x = 205,908.75
  5. Step 5: Solve for x
    x = 205,908.75/566.92
  6. Step 6: Final answer
    x = 363.21

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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.