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Finding the Fourth Proportional to 470.12, 705.12 and 161.96

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Solution

The fourth proportional to 470.12, 705.12 and 161.96 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.12 : 705.12 = 161.96 : x
  2. Step 2: Convert to fraction form
    470.12/705.12 = 161.96/x
  3. Step 3: Cross multiply
    470.12x = 705.12 × 161.96
  4. Step 4: Simplify right side
    470.12x = 114,201.24
  5. Step 5: Solve for x
    x = 114,201.24/470.12
  6. Step 6: Final answer
    x = 242.92

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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.