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Finding the Fourth Proportional to 209.28, 313.47 and 148.69

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Solution

The fourth proportional to 209.28, 313.47 and 148.69 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.28 : 313.47 = 148.69 : x
  2. Step 2: Convert to fraction form
    209.28/313.47 = 148.69/x
  3. Step 3: Cross multiply
    209.28x = 313.47 × 148.69
  4. Step 4: Simplify right side
    209.28x = 46,608.48
  5. Step 5: Solve for x
    x = 46,608.48/209.28
  6. Step 6: Final answer
    x = 222.70

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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.