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Finding the Fourth Proportional to 231.94, 345.47 and 228.52

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Solution

The fourth proportional to 231.94, 345.47 and 228.52 is: 340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.94 : 345.47 = 228.52 : x
  2. Step 2: Convert to fraction form
    231.94/345.47 = 228.52/x
  3. Step 3: Cross multiply
    231.94x = 345.47 × 228.52
  4. Step 4: Simplify right side
    231.94x = 78,946.80
  5. Step 5: Solve for x
    x = 78,946.80/231.94
  6. Step 6: Final answer
    x = 340.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.