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Finding the Fourth Proportional to 380.70, 570.78 and 185.76

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Solution

The fourth proportional to 380.70, 570.78 and 185.76 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 570.78 = 185.76 : x
  2. Step 2: Convert to fraction form
    380.70/570.78 = 185.76/x
  3. Step 3: Cross multiply
    380.70x = 570.78 × 185.76
  4. Step 4: Simplify right side
    380.70x = 106,028.09
  5. Step 5: Solve for x
    x = 106,028.09/380.70
  6. Step 6: Final answer
    x = 278.51

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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.