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Finding the Fourth Proportional to 472.42, 708.38 and 164.19

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Solution

The fourth proportional to 472.42, 708.38 and 164.19 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.42 : 708.38 = 164.19 : x
  2. Step 2: Convert to fraction form
    472.42/708.38 = 164.19/x
  3. Step 3: Cross multiply
    472.42x = 708.38 × 164.19
  4. Step 4: Simplify right side
    472.42x = 116,309.07
  5. Step 5: Solve for x
    x = 116,309.07/472.42
  6. Step 6: Final answer
    x = 246.20

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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.