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Finding the Fourth Proportional to 357.22, 492.74 and 209.82

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Solution

The fourth proportional to 357.22, 492.74 and 209.82 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.22 : 492.74 = 209.82 : x
  2. Step 2: Convert to fraction form
    357.22/492.74 = 209.82/x
  3. Step 3: Cross multiply
    357.22x = 492.74 × 209.82
  4. Step 4: Simplify right side
    357.22x = 103,386.71
  5. Step 5: Solve for x
    x = 103,386.71/357.22
  6. Step 6: Final answer
    x = 289.42

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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.