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Finding the Fourth Proportional to 566.93, 850.04 and 196.64

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Solution

The fourth proportional to 566.93, 850.04 and 196.64 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.93 : 850.04 = 196.64 : x
  2. Step 2: Convert to fraction form
    566.93/850.04 = 196.64/x
  3. Step 3: Cross multiply
    566.93x = 850.04 × 196.64
  4. Step 4: Simplify right side
    566.93x = 167,155.34
  5. Step 5: Solve for x
    x = 167,155.34/566.93
  6. Step 6: Final answer
    x = 294.84

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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.