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Finding the Fourth Proportional to 306.30, 459.37 and 151.95

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Solution

The fourth proportional to 306.30, 459.37 and 151.95 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.30 : 459.37 = 151.95 : x
  2. Step 2: Convert to fraction form
    306.30/459.37 = 151.95/x
  3. Step 3: Cross multiply
    306.30x = 459.37 × 151.95
  4. Step 4: Simplify right side
    306.30x = 69,800.51
  5. Step 5: Solve for x
    x = 69,800.51/306.30
  6. Step 6: Final answer
    x = 227.88

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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.