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Finding the Fourth Proportional to 464.67, 696.70 and 186.84

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Solution

The fourth proportional to 464.67, 696.70 and 186.84 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 696.70 = 186.84 : x
  2. Step 2: Convert to fraction form
    464.67/696.70 = 186.84/x
  3. Step 3: Cross multiply
    464.67x = 696.70 × 186.84
  4. Step 4: Simplify right side
    464.67x = 130,171.66
  5. Step 5: Solve for x
    x = 130,171.66/464.67
  6. Step 6: Final answer
    x = 280.14

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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.