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Finding the Fourth Proportional to 567.85, 851.61 and 202.56

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Solution

The fourth proportional to 567.85, 851.61 and 202.56 is: 303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.85 : 851.61 = 202.56 : x
  2. Step 2: Convert to fraction form
    567.85/851.61 = 202.56/x
  3. Step 3: Cross multiply
    567.85x = 851.61 × 202.56
  4. Step 4: Simplify right side
    567.85x = 172,502.12
  5. Step 5: Solve for x
    x = 172,502.12/567.85
  6. Step 6: Final answer
    x = 303.78

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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.