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Finding the Fourth Proportional to 365.05, 546.60 and 210.19

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Solution

The fourth proportional to 365.05, 546.60 and 210.19 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 546.60 = 210.19 : x
  2. Step 2: Convert to fraction form
    365.05/546.60 = 210.19/x
  3. Step 3: Cross multiply
    365.05x = 546.60 × 210.19
  4. Step 4: Simplify right side
    365.05x = 114,889.85
  5. Step 5: Solve for x
    x = 114,889.85/365.05
  6. Step 6: Final answer
    x = 314.72

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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.