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Finding the Fourth Proportional to 365.09, 547.86 and 210.92

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Solution

The fourth proportional to 365.09, 547.86 and 210.92 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.09 : 547.86 = 210.92 : x
  2. Step 2: Convert to fraction form
    365.09/547.86 = 210.92/x
  3. Step 3: Cross multiply
    365.09x = 547.86 × 210.92
  4. Step 4: Simplify right side
    365.09x = 115,551.89
  5. Step 5: Solve for x
    x = 115,551.89/365.09
  6. Step 6: Final answer
    x = 316.51

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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.