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Finding the Fourth Proportional to 547.94, 822.01 and 157.93

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Solution

The fourth proportional to 547.94, 822.01 and 157.93 is: 236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.94 : 822.01 = 157.93 : x
  2. Step 2: Convert to fraction form
    547.94/822.01 = 157.93/x
  3. Step 3: Cross multiply
    547.94x = 822.01 × 157.93
  4. Step 4: Simplify right side
    547.94x = 129,820.04
  5. Step 5: Solve for x
    x = 129,820.04/547.94
  6. Step 6: Final answer
    x = 236.92

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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.