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Finding the Fourth Proportional to 316.19, 473.30 and 204.86

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Solution

The fourth proportional to 316.19, 473.30 and 204.86 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.19 : 473.30 = 204.86 : x
  2. Step 2: Convert to fraction form
    316.19/473.30 = 204.86/x
  3. Step 3: Cross multiply
    316.19x = 473.30 × 204.86
  4. Step 4: Simplify right side
    316.19x = 96,960.24
  5. Step 5: Solve for x
    x = 96,960.24/316.19
  6. Step 6: Final answer
    x = 306.65

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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.