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Finding the Fourth Proportional to 309.70, 427.29 and 178.66

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Solution

The fourth proportional to 309.70, 427.29 and 178.66 is: 246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 427.29 = 178.66 : x
  2. Step 2: Convert to fraction form
    309.70/427.29 = 178.66/x
  3. Step 3: Cross multiply
    309.70x = 427.29 × 178.66
  4. Step 4: Simplify right side
    309.70x = 76,339.63
  5. Step 5: Solve for x
    x = 76,339.63/309.70
  6. Step 6: Final answer
    x = 246.50

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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.