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Finding the Fourth Proportional to 231.47, 346.81 and 162.87

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Solution

The fourth proportional to 231.47, 346.81 and 162.87 is: 244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 346.81 = 162.87 : x
  2. Step 2: Convert to fraction form
    231.47/346.81 = 162.87/x
  3. Step 3: Cross multiply
    231.47x = 346.81 × 162.87
  4. Step 4: Simplify right side
    231.47x = 56,483.24
  5. Step 5: Solve for x
    x = 56,483.24/231.47
  6. Step 6: Final answer
    x = 244.02

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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.