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Finding the Fourth Proportional to 313.62, 470.92 and 206.10

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Solution

The fourth proportional to 313.62, 470.92 and 206.10 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 470.92 = 206.10 : x
  2. Step 2: Convert to fraction form
    313.62/470.92 = 206.10/x
  3. Step 3: Cross multiply
    313.62x = 470.92 × 206.10
  4. Step 4: Simplify right side
    313.62x = 97,056.61
  5. Step 5: Solve for x
    x = 97,056.61/313.62
  6. Step 6: Final answer
    x = 309.47

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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.