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Finding the Fourth Proportional to 315.08, 472.82 and 122.84

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Solution

The fourth proportional to 315.08, 472.82 and 122.84 is: 184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.08 : 472.82 = 122.84 : x
  2. Step 2: Convert to fraction form
    315.08/472.82 = 122.84/x
  3. Step 3: Cross multiply
    315.08x = 472.82 × 122.84
  4. Step 4: Simplify right side
    315.08x = 58,081.21
  5. Step 5: Solve for x
    x = 58,081.21/315.08
  6. Step 6: Final answer
    x = 184.34

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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.