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Finding the Fourth Proportional to 306.20, 458.57 and 184.25

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Solution

The fourth proportional to 306.20, 458.57 and 184.25 is: 275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.20 : 458.57 = 184.25 : x
  2. Step 2: Convert to fraction form
    306.20/458.57 = 184.25/x
  3. Step 3: Cross multiply
    306.20x = 458.57 × 184.25
  4. Step 4: Simplify right side
    306.20x = 84,488.31
  5. Step 5: Solve for x
    x = 84,488.31/306.20
  6. Step 6: Final answer
    x = 275.93

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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.