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Finding the Fourth Proportional to 227.70, 341.76 and 178.86

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Solution

The fourth proportional to 227.70, 341.76 and 178.86 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 341.76 = 178.86 : x
  2. Step 2: Convert to fraction form
    227.70/341.76 = 178.86/x
  3. Step 3: Cross multiply
    227.70x = 341.76 × 178.86
  4. Step 4: Simplify right side
    227.70x = 61,127.19
  5. Step 5: Solve for x
    x = 61,127.19/227.70
  6. Step 6: Final answer
    x = 268.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.