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Finding the Fourth Proportional to 328.72, 493.36 and 146.28

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Solution

The fourth proportional to 328.72, 493.36 and 146.28 is: 219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 493.36 = 146.28 : x
  2. Step 2: Convert to fraction form
    328.72/493.36 = 146.28/x
  3. Step 3: Cross multiply
    328.72x = 493.36 × 146.28
  4. Step 4: Simplify right side
    328.72x = 72,168.70
  5. Step 5: Solve for x
    x = 72,168.70/328.72
  6. Step 6: Final answer
    x = 219.54

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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.