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Finding the Fourth Proportional to 472.16, 708.30 and 164.04

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Solution

The fourth proportional to 472.16, 708.30 and 164.04 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 708.30 = 164.04 : x
  2. Step 2: Convert to fraction form
    472.16/708.30 = 164.04/x
  3. Step 3: Cross multiply
    472.16x = 708.30 × 164.04
  4. Step 4: Simplify right side
    472.16x = 116,189.53
  5. Step 5: Solve for x
    x = 116,189.53/472.16
  6. Step 6: Final answer
    x = 246.08

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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.