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Finding the Fourth Proportional to 316.16, 435.94 and 231.75

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Solution

The fourth proportional to 316.16, 435.94 and 231.75 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.16 : 435.94 = 231.75 : x
  2. Step 2: Convert to fraction form
    316.16/435.94 = 231.75/x
  3. Step 3: Cross multiply
    316.16x = 435.94 × 231.75
  4. Step 4: Simplify right side
    316.16x = 101,029.38
  5. Step 5: Solve for x
    x = 101,029.38/316.16
  6. Step 6: Final answer
    x = 319.55

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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.