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Finding the Fourth Proportional to 567.61, 851.40 and 202.25

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Solution

The fourth proportional to 567.61, 851.40 and 202.25 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.61 : 851.40 = 202.25 : x
  2. Step 2: Convert to fraction form
    567.61/851.40 = 202.25/x
  3. Step 3: Cross multiply
    567.61x = 851.40 × 202.25
  4. Step 4: Simplify right side
    567.61x = 172,195.65
  5. Step 5: Solve for x
    x = 172,195.65/567.61
  6. Step 6: Final answer
    x = 303.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.