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Finding the Fourth Proportional to 233.10, 348.27 and 228.78

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Solution

The fourth proportional to 233.10, 348.27 and 228.78 is: 341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 348.27 = 228.78 : x
  2. Step 2: Convert to fraction form
    233.10/348.27 = 228.78/x
  3. Step 3: Cross multiply
    233.10x = 348.27 × 228.78
  4. Step 4: Simplify right side
    233.10x = 79,677.21
  5. Step 5: Solve for x
    x = 79,677.21/233.10
  6. Step 6: Final answer
    x = 341.82

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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.