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Finding the Fourth Proportional to 309.96, 427.76 and 178.98

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Solution

The fourth proportional to 309.96, 427.76 and 178.98 is: 247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 427.76 = 178.98 : x
  2. Step 2: Convert to fraction form
    309.96/427.76 = 178.98/x
  3. Step 3: Cross multiply
    309.96x = 427.76 × 178.98
  4. Step 4: Simplify right side
    309.96x = 76,560.48
  5. Step 5: Solve for x
    x = 76,560.48/309.96
  6. Step 6: Final answer
    x = 247.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.