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Finding the Fourth Proportional to 357.14, 492.73 and 239.16

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Solution

The fourth proportional to 357.14, 492.73 and 239.16 is: 329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.14 : 492.73 = 239.16 : x
  2. Step 2: Convert to fraction form
    357.14/492.73 = 239.16/x
  3. Step 3: Cross multiply
    357.14x = 492.73 × 239.16
  4. Step 4: Simplify right side
    357.14x = 117,841.31
  5. Step 5: Solve for x
    x = 117,841.31/357.14
  6. Step 6: Final answer
    x = 329.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.