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Finding the Fourth Proportional to 315.22, 472.80 and 109.78

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Solution

The fourth proportional to 315.22, 472.80 and 109.78 is: 164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.22 : 472.80 = 109.78 : x
  2. Step 2: Convert to fraction form
    315.22/472.80 = 109.78/x
  3. Step 3: Cross multiply
    315.22x = 472.80 × 109.78
  4. Step 4: Simplify right side
    315.22x = 51,903.98
  5. Step 5: Solve for x
    x = 51,903.98/315.22
  6. Step 6: Final answer
    x = 164.66

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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.