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Finding the Fourth Proportional to 233.78, 348.69 and 197.46

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Solution

The fourth proportional to 233.78, 348.69 and 197.46 is: 294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.78 : 348.69 = 197.46 : x
  2. Step 2: Convert to fraction form
    233.78/348.69 = 197.46/x
  3. Step 3: Cross multiply
    233.78x = 348.69 × 197.46
  4. Step 4: Simplify right side
    233.78x = 68,852.33
  5. Step 5: Solve for x
    x = 68,852.33/233.78
  6. Step 6: Final answer
    x = 294.52

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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.