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Finding the Fourth Proportional to 237.42, 327.85 and 162.83

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Solution

The fourth proportional to 237.42, 327.85 and 162.83 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 327.85 = 162.83 : x
  2. Step 2: Convert to fraction form
    237.42/327.85 = 162.83/x
  3. Step 3: Cross multiply
    237.42x = 327.85 × 162.83
  4. Step 4: Simplify right side
    237.42x = 53,384.23
  5. Step 5: Solve for x
    x = 53,384.23/237.42
  6. Step 6: Final answer
    x = 224.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.