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Finding the Fourth Proportional to 470.16, 705.29 and 196.20

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Solution

The fourth proportional to 470.16, 705.29 and 196.20 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 705.29 = 196.20 : x
  2. Step 2: Convert to fraction form
    470.16/705.29 = 196.20/x
  3. Step 3: Cross multiply
    470.16x = 705.29 × 196.20
  4. Step 4: Simplify right side
    470.16x = 138,378.29
  5. Step 5: Solve for x
    x = 138,378.29/470.16
  6. Step 6: Final answer
    x = 294.32

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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.