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Finding the Fourth Proportional to 231.48, 346.46 and 144.40

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Solution

The fourth proportional to 231.48, 346.46 and 144.40 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.48 : 346.46 = 144.40 : x
  2. Step 2: Convert to fraction form
    231.48/346.46 = 144.40/x
  3. Step 3: Cross multiply
    231.48x = 346.46 × 144.40
  4. Step 4: Simplify right side
    231.48x = 50,028.82
  5. Step 5: Solve for x
    x = 50,028.82/231.48
  6. Step 6: Final answer
    x = 216.13

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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.