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Finding the Fourth Proportional to 227.89, 314.59 and 149.32

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Solution

The fourth proportional to 227.89, 314.59 and 149.32 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.89 : 314.59 = 149.32 : x
  2. Step 2: Convert to fraction form
    227.89/314.59 = 149.32/x
  3. Step 3: Cross multiply
    227.89x = 314.59 × 149.32
  4. Step 4: Simplify right side
    227.89x = 46,973.01
  5. Step 5: Solve for x
    x = 46,973.01/227.89
  6. Step 6: Final answer
    x = 206.13

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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.