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Finding the Fourth Proportional to 333.76, 500.46 and 197.14

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Solution

The fourth proportional to 333.76, 500.46 and 197.14 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 500.46 = 197.14 : x
  2. Step 2: Convert to fraction form
    333.76/500.46 = 197.14/x
  3. Step 3: Cross multiply
    333.76x = 500.46 × 197.14
  4. Step 4: Simplify right side
    333.76x = 98,660.68
  5. Step 5: Solve for x
    x = 98,660.68/333.76
  6. Step 6: Final answer
    x = 295.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.