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Finding the Fourth Proportional to 547.71, 821.47 and 157.76

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Solution

The fourth proportional to 547.71, 821.47 and 157.76 is: 236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.71 : 821.47 = 157.76 : x
  2. Step 2: Convert to fraction form
    547.71/821.47 = 157.76/x
  3. Step 3: Cross multiply
    547.71x = 821.47 × 157.76
  4. Step 4: Simplify right side
    547.71x = 129,595.11
  5. Step 5: Solve for x
    x = 129,595.11/547.71
  6. Step 6: Final answer
    x = 236.61

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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.