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Finding the Fourth Proportional to 227.28, 313.60 and 135.28

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Solution

The fourth proportional to 227.28, 313.60 and 135.28 is: 186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 313.60 = 135.28 : x
  2. Step 2: Convert to fraction form
    227.28/313.60 = 135.28/x
  3. Step 3: Cross multiply
    227.28x = 313.60 × 135.28
  4. Step 4: Simplify right side
    227.28x = 42,423.81
  5. Step 5: Solve for x
    x = 42,423.81/227.28
  6. Step 6: Final answer
    x = 186.66

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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.