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Finding the Fourth Proportional to 314.04, 470.18 and 204.47

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Solution

The fourth proportional to 314.04, 470.18 and 204.47 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 470.18 = 204.47 : x
  2. Step 2: Convert to fraction form
    314.04/470.18 = 204.47/x
  3. Step 3: Cross multiply
    314.04x = 470.18 × 204.47
  4. Step 4: Simplify right side
    314.04x = 96,134.33
  5. Step 5: Solve for x
    x = 96,134.33/314.04
  6. Step 6: Final answer
    x = 306.12

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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.