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Finding the Fourth Proportional to 245.78, 366.68 and 234.18

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Solution

The fourth proportional to 245.78, 366.68 and 234.18 is: 349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 366.68 = 234.18 : x
  2. Step 2: Convert to fraction form
    245.78/366.68 = 234.18/x
  3. Step 3: Cross multiply
    245.78x = 366.68 × 234.18
  4. Step 4: Simplify right side
    245.78x = 85,869.12
  5. Step 5: Solve for x
    x = 85,869.12/245.78
  6. Step 6: Final answer
    x = 349.37

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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.