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Finding the Fourth Proportional to 233.08, 319.51 and 228.94

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Solution

The fourth proportional to 233.08, 319.51 and 228.94 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 319.51 = 228.94 : x
  2. Step 2: Convert to fraction form
    233.08/319.51 = 228.94/x
  3. Step 3: Cross multiply
    233.08x = 319.51 × 228.94
  4. Step 4: Simplify right side
    233.08x = 73,148.62
  5. Step 5: Solve for x
    x = 73,148.62/233.08
  6. Step 6: Final answer
    x = 313.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.