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Finding the Fourth Proportional to 234.86, 349.98 and 228.26

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Solution

The fourth proportional to 234.86, 349.98 and 228.26 is: 340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.86 : 349.98 = 228.26 : x
  2. Step 2: Convert to fraction form
    234.86/349.98 = 228.26/x
  3. Step 3: Cross multiply
    234.86x = 349.98 × 228.26
  4. Step 4: Simplify right side
    234.86x = 79,886.43
  5. Step 5: Solve for x
    x = 79,886.43/234.86
  6. Step 6: Final answer
    x = 340.14

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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.