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Finding the Fourth Proportional to 567.66, 851.49 and 177.80

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Solution

The fourth proportional to 567.66, 851.49 and 177.80 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.66 : 851.49 = 177.80 : x
  2. Step 2: Convert to fraction form
    567.66/851.49 = 177.80/x
  3. Step 3: Cross multiply
    567.66x = 851.49 × 177.80
  4. Step 4: Simplify right side
    567.66x = 151,390.16
  5. Step 5: Solve for x
    x = 151,390.16/567.66
  6. Step 6: Final answer
    x = 266.69

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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.