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Finding the Fourth Proportional to 533.84, 800.56 and 163.54

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Solution

The fourth proportional to 533.84, 800.56 and 163.54 is: 245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 800.56 = 163.54 : x
  2. Step 2: Convert to fraction form
    533.84/800.56 = 163.54/x
  3. Step 3: Cross multiply
    533.84x = 800.56 × 163.54
  4. Step 4: Simplify right side
    533.84x = 130,921.17
  5. Step 5: Solve for x
    x = 130,921.17/533.84
  6. Step 6: Final answer
    x = 245.24

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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.