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Finding the Fourth Proportional to 567.70, 851.53 and 225.70

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Solution

The fourth proportional to 567.70, 851.53 and 225.70 is: 338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.70 : 851.53 = 225.70 : x
  2. Step 2: Convert to fraction form
    567.70/851.53 = 225.70/x
  3. Step 3: Cross multiply
    567.70x = 851.53 × 225.70
  4. Step 4: Simplify right side
    567.70x = 192,190.32
  5. Step 5: Solve for x
    x = 192,190.32/567.70
  6. Step 6: Final answer
    x = 338.54

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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.