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Finding the Fourth Proportional to 533.28, 799.84 and 148.56

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Solution

The fourth proportional to 533.28, 799.84 and 148.56 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.28 : 799.84 = 148.56 : x
  2. Step 2: Convert to fraction form
    533.28/799.84 = 148.56/x
  3. Step 3: Cross multiply
    533.28x = 799.84 × 148.56
  4. Step 4: Simplify right side
    533.28x = 118,824.23
  5. Step 5: Solve for x
    x = 118,824.23/533.28
  6. Step 6: Final answer
    x = 222.82

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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.