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Finding the Fourth Proportional to 567.45, 851.29 and 177.44

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Solution

The fourth proportional to 567.45, 851.29 and 177.44 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 851.29 = 177.44 : x
  2. Step 2: Convert to fraction form
    567.45/851.29 = 177.44/x
  3. Step 3: Cross multiply
    567.45x = 851.29 × 177.44
  4. Step 4: Simplify right side
    567.45x = 151,048.20
  5. Step 5: Solve for x
    x = 151,048.20/567.45
  6. Step 6: Final answer
    x = 266.19

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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.