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Finding the Fourth Proportional to 547.70, 821.52 and 157.68

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Solution

The fourth proportional to 547.70, 821.52 and 157.68 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 821.52 = 157.68 : x
  2. Step 2: Convert to fraction form
    547.70/821.52 = 157.68/x
  3. Step 3: Cross multiply
    547.70x = 821.52 × 157.68
  4. Step 4: Simplify right side
    547.70x = 129,537.27
  5. Step 5: Solve for x
    x = 129,537.27/547.70
  6. Step 6: Final answer
    x = 236.51

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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.