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Finding the Fourth Proportional to 309.46, 427.02 and 178.51

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Solution

The fourth proportional to 309.46, 427.02 and 178.51 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 427.02 = 178.51 : x
  2. Step 2: Convert to fraction form
    309.46/427.02 = 178.51/x
  3. Step 3: Cross multiply
    309.46x = 427.02 × 178.51
  4. Step 4: Simplify right side
    309.46x = 76,227.34
  5. Step 5: Solve for x
    x = 76,227.34/309.46
  6. Step 6: Final answer
    x = 246.32

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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.