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Finding the Fourth Proportional to 237.04, 324.98 and 232.72

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Solution

The fourth proportional to 237.04, 324.98 and 232.72 is: 319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.04 : 324.98 = 232.72 : x
  2. Step 2: Convert to fraction form
    237.04/324.98 = 232.72/x
  3. Step 3: Cross multiply
    237.04x = 324.98 × 232.72
  4. Step 4: Simplify right side
    237.04x = 75,629.35
  5. Step 5: Solve for x
    x = 75,629.35/237.04
  6. Step 6: Final answer
    x = 319.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.