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Finding the Fourth Proportional to 472.30, 708.54 and 164.08

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Solution

The fourth proportional to 472.30, 708.54 and 164.08 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.30 : 708.54 = 164.08 : x
  2. Step 2: Convert to fraction form
    472.30/708.54 = 164.08/x
  3. Step 3: Cross multiply
    472.30x = 708.54 × 164.08
  4. Step 4: Simplify right side
    472.30x = 116,257.24
  5. Step 5: Solve for x
    x = 116,257.24/472.30
  6. Step 6: Final answer
    x = 246.15

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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.