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Finding the Fourth Proportional to 431.06, 646.30 and 157.12

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Solution

The fourth proportional to 431.06, 646.30 and 157.12 is: 235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 646.30 = 157.12 : x
  2. Step 2: Convert to fraction form
    431.06/646.30 = 157.12/x
  3. Step 3: Cross multiply
    431.06x = 646.30 × 157.12
  4. Step 4: Simplify right side
    431.06x = 101,546.66
  5. Step 5: Solve for x
    x = 101,546.66/431.06
  6. Step 6: Final answer
    x = 235.57

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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.