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Finding the Fourth Proportional to 316.22, 473.40 and 194.11

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Solution

The fourth proportional to 316.22, 473.40 and 194.11 is: 290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.22 : 473.40 = 194.11 : x
  2. Step 2: Convert to fraction form
    316.22/473.40 = 194.11/x
  3. Step 3: Cross multiply
    316.22x = 473.40 × 194.11
  4. Step 4: Simplify right side
    316.22x = 91,890.49
  5. Step 5: Solve for x
    x = 91,890.49/316.22
  6. Step 6: Final answer
    x = 290.59

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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.