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Finding the Fourth Proportional to 355.64, 533.64 and 163.28

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Solution

The fourth proportional to 355.64, 533.64 and 163.28 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.64 : 533.64 = 163.28 : x
  2. Step 2: Convert to fraction form
    355.64/533.64 = 163.28/x
  3. Step 3: Cross multiply
    355.64x = 533.64 × 163.28
  4. Step 4: Simplify right side
    355.64x = 87,132.74
  5. Step 5: Solve for x
    x = 87,132.74/355.64
  6. Step 6: Final answer
    x = 245.00

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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.