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Finding the Fourth Proportional to 533.03, 799.52 and 148.25

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Solution

The fourth proportional to 533.03, 799.52 and 148.25 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.03 : 799.52 = 148.25 : x
  2. Step 2: Convert to fraction form
    533.03/799.52 = 148.25/x
  3. Step 3: Cross multiply
    533.03x = 799.52 × 148.25
  4. Step 4: Simplify right side
    533.03x = 118,528.10
  5. Step 5: Solve for x
    x = 118,528.10/533.03
  6. Step 6: Final answer
    x = 222.37

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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.