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Finding the Fourth Proportional to 470.86, 706.38 and 182.14

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Solution

The fourth proportional to 470.86, 706.38 and 182.14 is: 273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 706.38 = 182.14 : x
  2. Step 2: Convert to fraction form
    470.86/706.38 = 182.14/x
  3. Step 3: Cross multiply
    470.86x = 706.38 × 182.14
  4. Step 4: Simplify right side
    470.86x = 128,660.05
  5. Step 5: Solve for x
    x = 128,660.05/470.86
  6. Step 6: Final answer
    x = 273.24

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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.