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Finding the Fourth Proportional to 364, 546.16 and 212

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Solution

The fourth proportional to 364, 546.16 and 212 is: 318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 546.16 = 212 : x
  2. Step 2: Convert to fraction form
    364/546.16 = 212/x
  3. Step 3: Cross multiply
    364x = 546.16 × 212
  4. Step 4: Simplify right side
    364x = 115,785.92
  5. Step 5: Solve for x
    x = 115,785.92/364
  6. Step 6: Final answer
    x = 318.09

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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.