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Finding the Fourth Proportional to 365.19, 547.84 and 130.91

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Solution

The fourth proportional to 365.19, 547.84 and 130.91 is: 196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.19 : 547.84 = 130.91 : x
  2. Step 2: Convert to fraction form
    365.19/547.84 = 130.91/x
  3. Step 3: Cross multiply
    365.19x = 547.84 × 130.91
  4. Step 4: Simplify right side
    365.19x = 71,717.73
  5. Step 5: Solve for x
    x = 71,717.73/365.19
  6. Step 6: Final answer
    x = 196.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.