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Finding the Fourth Proportional to 472.24, 708.21 and 164.02

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Solution

The fourth proportional to 472.24, 708.21 and 164.02 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 708.21 = 164.02 : x
  2. Step 2: Convert to fraction form
    472.24/708.21 = 164.02/x
  3. Step 3: Cross multiply
    472.24x = 708.21 × 164.02
  4. Step 4: Simplify right side
    472.24x = 116,160.60
  5. Step 5: Solve for x
    x = 116,160.60/472.24
  6. Step 6: Final answer
    x = 245.98

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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.