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Finding the Fourth Proportional to 328.87, 492.96 and 146.39

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Solution

The fourth proportional to 328.87, 492.96 and 146.39 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.87 : 492.96 = 146.39 : x
  2. Step 2: Convert to fraction form
    328.87/492.96 = 146.39/x
  3. Step 3: Cross multiply
    328.87x = 492.96 × 146.39
  4. Step 4: Simplify right side
    328.87x = 72,164.41
  5. Step 5: Solve for x
    x = 72,164.41/328.87
  6. Step 6: Final answer
    x = 219.43

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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.