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Finding the Fourth Proportional to 464.14, 696.06 and 190.16

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Solution

The fourth proportional to 464.14, 696.06 and 190.16 is: 285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 696.06 = 190.16 : x
  2. Step 2: Convert to fraction form
    464.14/696.06 = 190.16/x
  3. Step 3: Cross multiply
    464.14x = 696.06 × 190.16
  4. Step 4: Simplify right side
    464.14x = 132,361.90
  5. Step 5: Solve for x
    x = 132,361.90/464.14
  6. Step 6: Final answer
    x = 285.18

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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.