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Finding the Fourth Proportional to 306.90, 423.48 and 182.55

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Solution

The fourth proportional to 306.90, 423.48 and 182.55 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.90 : 423.48 = 182.55 : x
  2. Step 2: Convert to fraction form
    306.90/423.48 = 182.55/x
  3. Step 3: Cross multiply
    306.90x = 423.48 × 182.55
  4. Step 4: Simplify right side
    306.90x = 77,306.27
  5. Step 5: Solve for x
    x = 77,306.27/306.90
  6. Step 6: Final answer
    x = 251.89

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