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Finding the Fourth Proportional to 230.56, 318.34 and 178.02

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Solution

The fourth proportional to 230.56, 318.34 and 178.02 is: 245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.56 : 318.34 = 178.02 : x
  2. Step 2: Convert to fraction form
    230.56/318.34 = 178.02/x
  3. Step 3: Cross multiply
    230.56x = 318.34 × 178.02
  4. Step 4: Simplify right side
    230.56x = 56,670.89
  5. Step 5: Solve for x
    x = 56,670.89/230.56
  6. Step 6: Final answer
    x = 245.80

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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.