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Finding the Fourth Proportional to 312.41, 431.19 and 188.08

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Solution

The fourth proportional to 312.41, 431.19 and 188.08 is: 259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.41 : 431.19 = 188.08 : x
  2. Step 2: Convert to fraction form
    312.41/431.19 = 188.08/x
  3. Step 3: Cross multiply
    312.41x = 431.19 × 188.08
  4. Step 4: Simplify right side
    312.41x = 81,099.38
  5. Step 5: Solve for x
    x = 81,099.38/312.41
  6. Step 6: Final answer
    x = 259.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.