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Finding the Fourth Proportional to 227.81, 314.28 and 148.06

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Solution

The fourth proportional to 227.81, 314.28 and 148.06 is: 204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.81 : 314.28 = 148.06 : x
  2. Step 2: Convert to fraction form
    227.81/314.28 = 148.06/x
  3. Step 3: Cross multiply
    227.81x = 314.28 × 148.06
  4. Step 4: Simplify right side
    227.81x = 46,532.69
  5. Step 5: Solve for x
    x = 46,532.69/227.81
  6. Step 6: Final answer
    x = 204.26

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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.