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Finding the Fourth Proportional to 564.88, 847.46 and 180.12

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Solution

The fourth proportional to 564.88, 847.46 and 180.12 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.88 : 847.46 = 180.12 : x
  2. Step 2: Convert to fraction form
    564.88/847.46 = 180.12/x
  3. Step 3: Cross multiply
    564.88x = 847.46 × 180.12
  4. Step 4: Simplify right side
    564.88x = 152,644.50
  5. Step 5: Solve for x
    x = 152,644.50/564.88
  6. Step 6: Final answer
    x = 270.22

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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.