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Finding the Fourth Proportional to 315.21, 472.77 and 122.84

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Solution

The fourth proportional to 315.21, 472.77 and 122.84 is: 184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.21 : 472.77 = 122.84 : x
  2. Step 2: Convert to fraction form
    315.21/472.77 = 122.84/x
  3. Step 3: Cross multiply
    315.21x = 472.77 × 122.84
  4. Step 4: Simplify right side
    315.21x = 58,072.70
  5. Step 5: Solve for x
    x = 58,072.70/315.21
  6. Step 6: Final answer
    x = 184.23

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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.