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Finding the Fourth Proportional to 464.07, 696.09 and 186.54

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Solution

The fourth proportional to 464.07, 696.09 and 186.54 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.07 : 696.09 = 186.54 : x
  2. Step 2: Convert to fraction form
    464.07/696.09 = 186.54/x
  3. Step 3: Cross multiply
    464.07x = 696.09 × 186.54
  4. Step 4: Simplify right side
    464.07x = 129,849.38
  5. Step 5: Solve for x
    x = 129,849.38/464.07
  6. Step 6: Final answer
    x = 279.81

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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.