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Finding the Fourth Proportional to 355.48, 533.16 and 218.50

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Solution

The fourth proportional to 355.48, 533.16 and 218.50 is: 327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.48 : 533.16 = 218.50 : x
  2. Step 2: Convert to fraction form
    355.48/533.16 = 218.50/x
  3. Step 3: Cross multiply
    355.48x = 533.16 × 218.50
  4. Step 4: Simplify right side
    355.48x = 116,495.46
  5. Step 5: Solve for x
    x = 116,495.46/355.48
  6. Step 6: Final answer
    x = 327.71

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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.