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Finding the Fourth Proportional to 472.27, 708.24 and 164.05

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Solution

The fourth proportional to 472.27, 708.24 and 164.05 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.27 : 708.24 = 164.05 : x
  2. Step 2: Convert to fraction form
    472.27/708.24 = 164.05/x
  3. Step 3: Cross multiply
    472.27x = 708.24 × 164.05
  4. Step 4: Simplify right side
    472.27x = 116,186.77
  5. Step 5: Solve for x
    x = 116,186.77/472.27
  6. Step 6: Final answer
    x = 246.02

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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.