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Finding the Fourth Proportional to 357.08, 492.64 and 201.80

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Solution

The fourth proportional to 357.08, 492.64 and 201.80 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.08 : 492.64 = 201.80 : x
  2. Step 2: Convert to fraction form
    357.08/492.64 = 201.80/x
  3. Step 3: Cross multiply
    357.08x = 492.64 × 201.80
  4. Step 4: Simplify right side
    357.08x = 99,414.75
  5. Step 5: Solve for x
    x = 99,414.75/357.08
  6. Step 6: Final answer
    x = 278.41

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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.