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Finding the Fourth Proportional to 300.65, 451.10 and 185.15

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Solution

The fourth proportional to 300.65, 451.10 and 185.15 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.65 : 451.10 = 185.15 : x
  2. Step 2: Convert to fraction form
    300.65/451.10 = 185.15/x
  3. Step 3: Cross multiply
    300.65x = 451.10 × 185.15
  4. Step 4: Simplify right side
    300.65x = 83,522.76
  5. Step 5: Solve for x
    x = 83,522.76/300.65
  6. Step 6: Final answer
    x = 277.81

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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.