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Finding the Fourth Proportional to 470.72, 706.13 and 196.66

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Solution

The fourth proportional to 470.72, 706.13 and 196.66 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.72 : 706.13 = 196.66 : x
  2. Step 2: Convert to fraction form
    470.72/706.13 = 196.66/x
  3. Step 3: Cross multiply
    470.72x = 706.13 × 196.66
  4. Step 4: Simplify right side
    470.72x = 138,867.53
  5. Step 5: Solve for x
    x = 138,867.53/470.72
  6. Step 6: Final answer
    x = 295.01

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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.