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Finding the Fourth Proportional to 567.52, 851.12 and 197.35

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Solution

The fourth proportional to 567.52, 851.12 and 197.35 is: 295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.52 : 851.12 = 197.35 : x
  2. Step 2: Convert to fraction form
    567.52/851.12 = 197.35/x
  3. Step 3: Cross multiply
    567.52x = 851.12 × 197.35
  4. Step 4: Simplify right side
    567.52x = 167,964.28
  5. Step 5: Solve for x
    x = 167,964.28/567.52
  6. Step 6: Final answer
    x = 295.96

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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.