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Finding the Fourth Proportional to 470.69, 706.07 and 182.13

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Solution

The fourth proportional to 470.69, 706.07 and 182.13 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 706.07 = 182.13 : x
  2. Step 2: Convert to fraction form
    470.69/706.07 = 182.13/x
  3. Step 3: Cross multiply
    470.69x = 706.07 × 182.13
  4. Step 4: Simplify right side
    470.69x = 128,596.53
  5. Step 5: Solve for x
    x = 128,596.53/470.69
  6. Step 6: Final answer
    x = 273.21

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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.