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Finding the Fourth Proportional to 231.10, 346.65 and 228.70

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Solution

The fourth proportional to 231.10, 346.65 and 228.70 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.10 : 346.65 = 228.70 : x
  2. Step 2: Convert to fraction form
    231.10/346.65 = 228.70/x
  3. Step 3: Cross multiply
    231.10x = 346.65 × 228.70
  4. Step 4: Simplify right side
    231.10x = 79,278.86
  5. Step 5: Solve for x
    x = 79,278.86/231.10
  6. Step 6: Final answer
    x = 343.05

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Why These Related Problems?

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