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Finding the Fourth Proportional to 567.12, 850.67 and 156.29

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Solution

The fourth proportional to 567.12, 850.67 and 156.29 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.12 : 850.67 = 156.29 : x
  2. Step 2: Convert to fraction form
    567.12/850.67 = 156.29/x
  3. Step 3: Cross multiply
    567.12x = 850.67 × 156.29
  4. Step 4: Simplify right side
    567.12x = 132,946.77
  5. Step 5: Solve for x
    x = 132,946.77/567.12
  6. Step 6: Final answer
    x = 234.42

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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.