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Finding the Fourth Proportional to 306.54, 459.23 and 237.73

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Solution

The fourth proportional to 306.54, 459.23 and 237.73 is: 356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 459.23 = 237.73 : x
  2. Step 2: Convert to fraction form
    306.54/459.23 = 237.73/x
  3. Step 3: Cross multiply
    306.54x = 459.23 × 237.73
  4. Step 4: Simplify right side
    306.54x = 109,171.60
  5. Step 5: Solve for x
    x = 109,171.60/306.54
  6. Step 6: Final answer
    x = 356.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.