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Finding the Fourth Proportional to 226.81, 313.16 and 148.24

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Solution

The fourth proportional to 226.81, 313.16 and 148.24 is: 204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.81 : 313.16 = 148.24 : x
  2. Step 2: Convert to fraction form
    226.81/313.16 = 148.24/x
  3. Step 3: Cross multiply
    226.81x = 313.16 × 148.24
  4. Step 4: Simplify right side
    226.81x = 46,422.84
  5. Step 5: Solve for x
    x = 46,422.84/226.81
  6. Step 6: Final answer
    x = 204.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.