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Finding the Fourth Proportional to 357.08, 492.97 and 239.22

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Solution

The fourth proportional to 357.08, 492.97 and 239.22 is: 330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.08 : 492.97 = 239.22 : x
  2. Step 2: Convert to fraction form
    357.08/492.97 = 239.22/x
  3. Step 3: Cross multiply
    357.08x = 492.97 × 239.22
  4. Step 4: Simplify right side
    357.08x = 117,927.06
  5. Step 5: Solve for x
    x = 117,927.06/357.08
  6. Step 6: Final answer
    x = 330.25

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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.