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Finding the Fourth Proportional to 237.52, 325.80 and 233.65

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Solution

The fourth proportional to 237.52, 325.80 and 233.65 is: 320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 325.80 = 233.65 : x
  2. Step 2: Convert to fraction form
    237.52/325.80 = 233.65/x
  3. Step 3: Cross multiply
    237.52x = 325.80 × 233.65
  4. Step 4: Simplify right side
    237.52x = 76,123.58
  5. Step 5: Solve for x
    x = 76,123.58/237.52
  6. Step 6: Final answer
    x = 320.49

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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.