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Finding the Fourth Proportional to 365.96, 547.89 and 243.98

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Solution

The fourth proportional to 365.96, 547.89 and 243.98 is: 365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 547.89 = 243.98 : x
  2. Step 2: Convert to fraction form
    365.96/547.89 = 243.98/x
  3. Step 3: Cross multiply
    365.96x = 547.89 × 243.98
  4. Step 4: Simplify right side
    365.96x = 133,671.46
  5. Step 5: Solve for x
    x = 133,671.46/365.96
  6. Step 6: Final answer
    x = 365.27

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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.