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Finding the Fourth Proportional to 431.34, 646.23 and 157.25

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Solution

The fourth proportional to 431.34, 646.23 and 157.25 is: 235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 646.23 = 157.25 : x
  2. Step 2: Convert to fraction form
    431.34/646.23 = 157.25/x
  3. Step 3: Cross multiply
    431.34x = 646.23 × 157.25
  4. Step 4: Simplify right side
    431.34x = 101,616.44
  5. Step 5: Solve for x
    x = 101,616.44/431.34
  6. Step 6: Final answer
    x = 235.58

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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.