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Finding the Fourth Proportional to 315.15, 472.81 and 109.70

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Solution

The fourth proportional to 315.15, 472.81 and 109.70 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.15 : 472.81 = 109.70 : x
  2. Step 2: Convert to fraction form
    315.15/472.81 = 109.70/x
  3. Step 3: Cross multiply
    315.15x = 472.81 × 109.70
  4. Step 4: Simplify right side
    315.15x = 51,867.26
  5. Step 5: Solve for x
    x = 51,867.26/315.15
  6. Step 6: Final answer
    x = 164.58

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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.