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Finding the Fourth Proportional to 533.06, 799.70 and 186.40

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Solution

The fourth proportional to 533.06, 799.70 and 186.40 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.06 : 799.70 = 186.40 : x
  2. Step 2: Convert to fraction form
    533.06/799.70 = 186.40/x
  3. Step 3: Cross multiply
    533.06x = 799.70 × 186.40
  4. Step 4: Simplify right side
    533.06x = 149,064.08
  5. Step 5: Solve for x
    x = 149,064.08/533.06
  6. Step 6: Final answer
    x = 279.64

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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.