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Finding the Fourth Proportional to 328.69, 493.07 and 146.11

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Solution

The fourth proportional to 328.69, 493.07 and 146.11 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 493.07 = 146.11 : x
  2. Step 2: Convert to fraction form
    328.69/493.07 = 146.11/x
  3. Step 3: Cross multiply
    328.69x = 493.07 × 146.11
  4. Step 4: Simplify right side
    328.69x = 72,042.46
  5. Step 5: Solve for x
    x = 72,042.46/328.69
  6. Step 6: Final answer
    x = 219.18

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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.