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Finding the Fourth Proportional to 328.62, 453.54 and 193.98

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Solution

The fourth proportional to 328.62, 453.54 and 193.98 is: 267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.62 : 453.54 = 193.98 : x
  2. Step 2: Convert to fraction form
    328.62/453.54 = 193.98/x
  3. Step 3: Cross multiply
    328.62x = 453.54 × 193.98
  4. Step 4: Simplify right side
    328.62x = 87,977.69
  5. Step 5: Solve for x
    x = 87,977.69/328.62
  6. Step 6: Final answer
    x = 267.72

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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.