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Finding the Fourth Proportional to 206.15, 308.75 and 148.23

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Solution

The fourth proportional to 206.15, 308.75 and 148.23 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 308.75 = 148.23 : x
  2. Step 2: Convert to fraction form
    206.15/308.75 = 148.23/x
  3. Step 3: Cross multiply
    206.15x = 308.75 × 148.23
  4. Step 4: Simplify right side
    206.15x = 45,765.27
  5. Step 5: Solve for x
    x = 45,765.27/206.15
  6. Step 6: Final answer
    x = 222.01

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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.