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Finding the Fourth Proportional to 328.98, 493.23 and 164.34

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Solution

The fourth proportional to 328.98, 493.23 and 164.34 is: 246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.98 : 493.23 = 164.34 : x
  2. Step 2: Convert to fraction form
    328.98/493.23 = 164.34/x
  3. Step 3: Cross multiply
    328.98x = 493.23 × 164.34
  4. Step 4: Simplify right side
    328.98x = 81,057.42
  5. Step 5: Solve for x
    x = 81,057.42/328.98
  6. Step 6: Final answer
    x = 246.39

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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.