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Finding the Fourth Proportional to 310.06, 427.71 and 178.98

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Solution

The fourth proportional to 310.06, 427.71 and 178.98 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.06 : 427.71 = 178.98 : x
  2. Step 2: Convert to fraction form
    310.06/427.71 = 178.98/x
  3. Step 3: Cross multiply
    310.06x = 427.71 × 178.98
  4. Step 4: Simplify right side
    310.06x = 76,551.54
  5. Step 5: Solve for x
    x = 76,551.54/310.06
  6. Step 6: Final answer
    x = 246.89

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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.