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Finding the Fourth Proportional to 301.23, 450.76 and 185.70

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Solution

The fourth proportional to 301.23, 450.76 and 185.70 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.23 : 450.76 = 185.70 : x
  2. Step 2: Convert to fraction form
    301.23/450.76 = 185.70/x
  3. Step 3: Cross multiply
    301.23x = 450.76 × 185.70
  4. Step 4: Simplify right side
    301.23x = 83,706.13
  5. Step 5: Solve for x
    x = 83,706.13/301.23
  6. Step 6: Final answer
    x = 277.88

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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.