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Finding the Fourth Proportional to 309.02, 426.48 and 178.07

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Solution

The fourth proportional to 309.02, 426.48 and 178.07 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 426.48 = 178.07 : x
  2. Step 2: Convert to fraction form
    309.02/426.48 = 178.07/x
  3. Step 3: Cross multiply
    309.02x = 426.48 × 178.07
  4. Step 4: Simplify right side
    309.02x = 75,943.29
  5. Step 5: Solve for x
    x = 75,943.29/309.02
  6. Step 6: Final answer
    x = 245.76

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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.