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Finding the Fourth Proportional to 231.42, 315.08 and 230.70

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Solution

The fourth proportional to 231.42, 315.08 and 230.70 is: 314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.42 : 315.08 = 230.70 : x
  2. Step 2: Convert to fraction form
    231.42/315.08 = 230.70/x
  3. Step 3: Cross multiply
    231.42x = 315.08 × 230.70
  4. Step 4: Simplify right side
    231.42x = 72,688.96
  5. Step 5: Solve for x
    x = 72,688.96/231.42
  6. Step 6: Final answer
    x = 314.10

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.