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Finding the Fourth Proportional to 567.75, 851.70 and 202.54

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Solution

The fourth proportional to 567.75, 851.70 and 202.54 is: 303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 851.70 = 202.54 : x
  2. Step 2: Convert to fraction form
    567.75/851.70 = 202.54/x
  3. Step 3: Cross multiply
    567.75x = 851.70 × 202.54
  4. Step 4: Simplify right side
    567.75x = 172,503.32
  5. Step 5: Solve for x
    x = 172,503.32/567.75
  6. Step 6: Final answer
    x = 303.84

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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.