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Finding the Fourth Proportional to 328.66, 493.17 and 123.24

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Solution

The fourth proportional to 328.66, 493.17 and 123.24 is: 184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.66 : 493.17 = 123.24 : x
  2. Step 2: Convert to fraction form
    328.66/493.17 = 123.24/x
  3. Step 3: Cross multiply
    328.66x = 493.17 × 123.24
  4. Step 4: Simplify right side
    328.66x = 60,778.27
  5. Step 5: Solve for x
    x = 60,778.27/328.66
  6. Step 6: Final answer
    x = 184.93

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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.