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Finding the Fourth Proportional to 470.76, 705.94 and 196.66

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Solution

The fourth proportional to 470.76, 705.94 and 196.66 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 705.94 = 196.66 : x
  2. Step 2: Convert to fraction form
    470.76/705.94 = 196.66/x
  3. Step 3: Cross multiply
    470.76x = 705.94 × 196.66
  4. Step 4: Simplify right side
    470.76x = 138,830.16
  5. Step 5: Solve for x
    x = 138,830.16/470.76
  6. Step 6: Final answer
    x = 294.91

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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.