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Finding the Fourth Proportional to 533.08, 799.60 and 148.34

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Solution

The fourth proportional to 533.08, 799.60 and 148.34 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 799.60 = 148.34 : x
  2. Step 2: Convert to fraction form
    533.08/799.60 = 148.34/x
  3. Step 3: Cross multiply
    533.08x = 799.60 × 148.34
  4. Step 4: Simplify right side
    533.08x = 118,612.66
  5. Step 5: Solve for x
    x = 118,612.66/533.08
  6. Step 6: Final answer
    x = 222.50

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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.