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Finding the Fourth Proportional to 402.54, 603.72 and 186

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Solution

The fourth proportional to 402.54, 603.72 and 186 is: 278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 603.72 = 186 : x
  2. Step 2: Convert to fraction form
    402.54/603.72 = 186/x
  3. Step 3: Cross multiply
    402.54x = 603.72 × 186
  4. Step 4: Simplify right side
    402.54x = 112,291.92
  5. Step 5: Solve for x
    x = 112,291.92/402.54
  6. Step 6: Final answer
    x = 278.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.