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Finding the Fourth Proportional to 328.67, 493.02 and 185.30

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Solution

The fourth proportional to 328.67, 493.02 and 185.30 is: 277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.67 : 493.02 = 185.30 : x
  2. Step 2: Convert to fraction form
    328.67/493.02 = 185.30/x
  3. Step 3: Cross multiply
    328.67x = 493.02 × 185.30
  4. Step 4: Simplify right side
    328.67x = 91,356.61
  5. Step 5: Solve for x
    x = 91,356.61/328.67
  6. Step 6: Final answer
    x = 277.96

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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.