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Finding the Fourth Proportional to 523.02, 784.70 and 157.82

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Solution

The fourth proportional to 523.02, 784.70 and 157.82 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 784.70 = 157.82 : x
  2. Step 2: Convert to fraction form
    523.02/784.70 = 157.82/x
  3. Step 3: Cross multiply
    523.02x = 784.70 × 157.82
  4. Step 4: Simplify right side
    523.02x = 123,841.35
  5. Step 5: Solve for x
    x = 123,841.35/523.02
  6. Step 6: Final answer
    x = 236.78

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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.