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Finding the Fourth Proportional to 230.10, 344.64 and 148.68

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Solution

The fourth proportional to 230.10, 344.64 and 148.68 is: 222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.10 : 344.64 = 148.68 : x
  2. Step 2: Convert to fraction form
    230.10/344.64 = 148.68/x
  3. Step 3: Cross multiply
    230.10x = 344.64 × 148.68
  4. Step 4: Simplify right side
    230.10x = 51,241.08
  5. Step 5: Solve for x
    x = 51,241.08/230.10
  6. Step 6: Final answer
    x = 222.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.