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Finding the Fourth Proportional to 315.83, 474.09 and 161.93

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Solution

The fourth proportional to 315.83, 474.09 and 161.93 is: 243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.83 : 474.09 = 161.93 : x
  2. Step 2: Convert to fraction form
    315.83/474.09 = 161.93/x
  3. Step 3: Cross multiply
    315.83x = 474.09 × 161.93
  4. Step 4: Simplify right side
    315.83x = 76,769.39
  5. Step 5: Solve for x
    x = 76,769.39/315.83
  6. Step 6: Final answer
    x = 243.07

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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.