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Finding the Fourth Proportional to 464.38, 696.83 and 186.67

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Solution

The fourth proportional to 464.38, 696.83 and 186.67 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.38 : 696.83 = 186.67 : x
  2. Step 2: Convert to fraction form
    464.38/696.83 = 186.67/x
  3. Step 3: Cross multiply
    464.38x = 696.83 × 186.67
  4. Step 4: Simplify right side
    464.38x = 130,080.37
  5. Step 5: Solve for x
    x = 130,080.37/464.38
  6. Step 6: Final answer
    x = 280.12

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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.