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Finding the Fourth Proportional to 566.90, 850.15 and 176.85

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Solution

The fourth proportional to 566.90, 850.15 and 176.85 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.90 : 850.15 = 176.85 : x
  2. Step 2: Convert to fraction form
    566.90/850.15 = 176.85/x
  3. Step 3: Cross multiply
    566.90x = 850.15 × 176.85
  4. Step 4: Simplify right side
    566.90x = 150,349.03
  5. Step 5: Solve for x
    x = 150,349.03/566.90
  6. Step 6: Final answer
    x = 265.21

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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.