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Finding the Fourth Proportional to 472.29, 708.61 and 164.18

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Solution

The fourth proportional to 472.29, 708.61 and 164.18 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.29 : 708.61 = 164.18 : x
  2. Step 2: Convert to fraction form
    472.29/708.61 = 164.18/x
  3. Step 3: Cross multiply
    472.29x = 708.61 × 164.18
  4. Step 4: Simplify right side
    472.29x = 116,336.05
  5. Step 5: Solve for x
    x = 116,336.05/472.29
  6. Step 6: Final answer
    x = 246.32

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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.