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Finding the Fourth Proportional to 567.89, 851.60 and 177.76

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Solution

The fourth proportional to 567.89, 851.60 and 177.76 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.89 : 851.60 = 177.76 : x
  2. Step 2: Convert to fraction form
    567.89/851.60 = 177.76/x
  3. Step 3: Cross multiply
    567.89x = 851.60 × 177.76
  4. Step 4: Simplify right side
    567.89x = 151,380.42
  5. Step 5: Solve for x
    x = 151,380.42/567.89
  6. Step 6: Final answer
    x = 266.57

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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.