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Finding the Fourth Proportional to 567.89, 851.83 and 177.88

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Solution

The fourth proportional to 567.89, 851.83 and 177.88 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.89 : 851.83 = 177.88 : x
  2. Step 2: Convert to fraction form
    567.89/851.83 = 177.88/x
  3. Step 3: Cross multiply
    567.89x = 851.83 × 177.88
  4. Step 4: Simplify right side
    567.89x = 151,520.95
  5. Step 5: Solve for x
    x = 151,520.95/567.89
  6. Step 6: Final answer
    x = 266.82

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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.