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Finding the Fourth Proportional to 315.41, 472.94 and 107.11

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Solution

The fourth proportional to 315.41, 472.94 and 107.11 is: 160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.41 : 472.94 = 107.11 : x
  2. Step 2: Convert to fraction form
    315.41/472.94 = 107.11/x
  3. Step 3: Cross multiply
    315.41x = 472.94 × 107.11
  4. Step 4: Simplify right side
    315.41x = 50,656.40
  5. Step 5: Solve for x
    x = 50,656.40/315.41
  6. Step 6: Final answer
    x = 160.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.