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Finding the Fourth Proportional to 328.84, 453.74 and 197.80

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Solution

The fourth proportional to 328.84, 453.74 and 197.80 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 453.74 = 197.80 : x
  2. Step 2: Convert to fraction form
    328.84/453.74 = 197.80/x
  3. Step 3: Cross multiply
    328.84x = 453.74 × 197.80
  4. Step 4: Simplify right side
    328.84x = 89,749.77
  5. Step 5: Solve for x
    x = 89,749.77/328.84
  6. Step 6: Final answer
    x = 272.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.