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Finding the Fourth Proportional to 472.10, 707.75 and 163.86

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Solution

The fourth proportional to 472.10, 707.75 and 163.86 is: 245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.10 : 707.75 = 163.86 : x
  2. Step 2: Convert to fraction form
    472.10/707.75 = 163.86/x
  3. Step 3: Cross multiply
    472.10x = 707.75 × 163.86
  4. Step 4: Simplify right side
    472.10x = 115,969.98
  5. Step 5: Solve for x
    x = 115,969.98/472.10
  6. Step 6: Final answer
    x = 245.65

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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.