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Finding the Fourth Proportional to 328.94, 493.17 and 123.49

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Solution

The fourth proportional to 328.94, 493.17 and 123.49 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.94 : 493.17 = 123.49 : x
  2. Step 2: Convert to fraction form
    328.94/493.17 = 123.49/x
  3. Step 3: Cross multiply
    328.94x = 493.17 × 123.49
  4. Step 4: Simplify right side
    328.94x = 60,901.56
  5. Step 5: Solve for x
    x = 60,901.56/328.94
  6. Step 6: Final answer
    x = 185.14

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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.