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Finding the Fourth Proportional to 315.16, 472.80 and 109.68

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Solution

The fourth proportional to 315.16, 472.80 and 109.68 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.16 : 472.80 = 109.68 : x
  2. Step 2: Convert to fraction form
    315.16/472.80 = 109.68/x
  3. Step 3: Cross multiply
    315.16x = 472.80 × 109.68
  4. Step 4: Simplify right side
    315.16x = 51,856.70
  5. Step 5: Solve for x
    x = 51,856.70/315.16
  6. Step 6: Final answer
    x = 164.54

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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.