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Finding the Fourth Proportional to 230.28, 317.70 and 142.98

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Solution

The fourth proportional to 230.28, 317.70 and 142.98 is: 197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.28 : 317.70 = 142.98 : x
  2. Step 2: Convert to fraction form
    230.28/317.70 = 142.98/x
  3. Step 3: Cross multiply
    230.28x = 317.70 × 142.98
  4. Step 4: Simplify right side
    230.28x = 45,424.75
  5. Step 5: Solve for x
    x = 45,424.75/230.28
  6. Step 6: Final answer
    x = 197.26

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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.