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Finding the Fourth Proportional to 328.78, 493.01 and 123.25

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Solution

The fourth proportional to 328.78, 493.01 and 123.25 is: 184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 493.01 = 123.25 : x
  2. Step 2: Convert to fraction form
    328.78/493.01 = 123.25/x
  3. Step 3: Cross multiply
    328.78x = 493.01 × 123.25
  4. Step 4: Simplify right side
    328.78x = 60,760.40
  5. Step 5: Solve for x
    x = 60,760.40/328.78
  6. Step 6: Final answer
    x = 184.81

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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.