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Finding the Fourth Proportional to 522.74, 784.22 and 157.54

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Solution

The fourth proportional to 522.74, 784.22 and 157.54 is: 236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.74 : 784.22 = 157.54 : x
  2. Step 2: Convert to fraction form
    522.74/784.22 = 157.54/x
  3. Step 3: Cross multiply
    522.74x = 784.22 × 157.54
  4. Step 4: Simplify right side
    522.74x = 123,546.02
  5. Step 5: Solve for x
    x = 123,546.02/522.74
  6. Step 6: Final answer
    x = 236.34

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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.