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Finding the Fourth Proportional to 568.22, 852.16 and 202.96

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Solution

The fourth proportional to 568.22, 852.16 and 202.96 is: 304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.22 : 852.16 = 202.96 : x
  2. Step 2: Convert to fraction form
    568.22/852.16 = 202.96/x
  3. Step 3: Cross multiply
    568.22x = 852.16 × 202.96
  4. Step 4: Simplify right side
    568.22x = 172,954.39
  5. Step 5: Solve for x
    x = 172,954.39/568.22
  6. Step 6: Final answer
    x = 304.38

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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.