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Finding the Fourth Proportional to 328.96, 493.08 and 192.07

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Solution

The fourth proportional to 328.96, 493.08 and 192.07 is: 287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 493.08 = 192.07 : x
  2. Step 2: Convert to fraction form
    328.96/493.08 = 192.07/x
  3. Step 3: Cross multiply
    328.96x = 493.08 × 192.07
  4. Step 4: Simplify right side
    328.96x = 94,705.88
  5. Step 5: Solve for x
    x = 94,705.88/328.96
  6. Step 6: Final answer
    x = 287.89

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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.