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Finding the Fourth Proportional to 523.99, 785.90 and 158.73

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Solution

The fourth proportional to 523.99, 785.90 and 158.73 is: 238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 785.90 = 158.73 : x
  2. Step 2: Convert to fraction form
    523.99/785.90 = 158.73/x
  3. Step 3: Cross multiply
    523.99x = 785.90 × 158.73
  4. Step 4: Simplify right side
    523.99x = 124,741.18
  5. Step 5: Solve for x
    x = 124,741.18/523.99
  6. Step 6: Final answer
    x = 238.06

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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.