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Finding the Fourth Proportional to 262.52, 394.66 and 186.04

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Solution

The fourth proportional to 262.52, 394.66 and 186.04 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 394.66 = 186.04 : x
  2. Step 2: Convert to fraction form
    262.52/394.66 = 186.04/x
  3. Step 3: Cross multiply
    262.52x = 394.66 × 186.04
  4. Step 4: Simplify right side
    262.52x = 73,421.05
  5. Step 5: Solve for x
    x = 73,421.05/262.52
  6. Step 6: Final answer
    x = 279.67

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Why These Related Problems?

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