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Finding the Fourth Proportional to 431.72, 647.37 and 157.84

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Solution

The fourth proportional to 431.72, 647.37 and 157.84 is: 236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.72 : 647.37 = 157.84 : x
  2. Step 2: Convert to fraction form
    431.72/647.37 = 157.84/x
  3. Step 3: Cross multiply
    431.72x = 647.37 × 157.84
  4. Step 4: Simplify right side
    431.72x = 102,180.88
  5. Step 5: Solve for x
    x = 102,180.88/431.72
  6. Step 6: Final answer
    x = 236.68

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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.