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Finding the Fourth Proportional to 238.23, 329.07 and 183.65

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Solution

The fourth proportional to 238.23, 329.07 and 183.65 is: 253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.23 : 329.07 = 183.65 : x
  2. Step 2: Convert to fraction form
    238.23/329.07 = 183.65/x
  3. Step 3: Cross multiply
    238.23x = 329.07 × 183.65
  4. Step 4: Simplify right side
    238.23x = 60,432.06
  5. Step 5: Solve for x
    x = 60,432.06/238.23
  6. Step 6: Final answer
    x = 253.67

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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.