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Finding the Fourth Proportional to 306.65, 423.01 and 182.25

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Solution

The fourth proportional to 306.65, 423.01 and 182.25 is: 251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 423.01 = 182.25 : x
  2. Step 2: Convert to fraction form
    306.65/423.01 = 182.25/x
  3. Step 3: Cross multiply
    306.65x = 423.01 × 182.25
  4. Step 4: Simplify right side
    306.65x = 77,093.57
  5. Step 5: Solve for x
    x = 77,093.57/306.65
  6. Step 6: Final answer
    x = 251.41

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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.