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Finding the Fourth Proportional to 228, 313.27 and 186.44

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Solution

The fourth proportional to 228, 313.27 and 186.44 is: 256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 313.27 = 186.44 : x
  2. Step 2: Convert to fraction form
    228/313.27 = 186.44/x
  3. Step 3: Cross multiply
    228x = 313.27 × 186.44
  4. Step 4: Simplify right side
    228x = 58,406.06
  5. Step 5: Solve for x
    x = 58,406.06/228
  6. Step 6: Final answer
    x = 256.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.