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Finding the Fourth Proportional to 431.83, 647.23 and 157.74

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Solution

The fourth proportional to 431.83, 647.23 and 157.74 is: 236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.83 : 647.23 = 157.74 : x
  2. Step 2: Convert to fraction form
    431.83/647.23 = 157.74/x
  3. Step 3: Cross multiply
    431.83x = 647.23 × 157.74
  4. Step 4: Simplify right side
    431.83x = 102,094.06
  5. Step 5: Solve for x
    x = 102,094.06/431.83
  6. Step 6: Final answer
    x = 236.42

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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.