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Finding the Fourth Proportional to 329.85, 492.68 and 237.83

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Solution

The fourth proportional to 329.85, 492.68 and 237.83 is: 355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.85 : 492.68 = 237.83 : x
  2. Step 2: Convert to fraction form
    329.85/492.68 = 237.83/x
  3. Step 3: Cross multiply
    329.85x = 492.68 × 237.83
  4. Step 4: Simplify right side
    329.85x = 117,172.22
  5. Step 5: Solve for x
    x = 117,172.22/329.85
  6. Step 6: Final answer
    x = 355.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.