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Finding the Fourth Proportional to 464.25, 696.46 and 156.13

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Solution

The fourth proportional to 464.25, 696.46 and 156.13 is: 234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.25 : 696.46 = 156.13 : x
  2. Step 2: Convert to fraction form
    464.25/696.46 = 156.13/x
  3. Step 3: Cross multiply
    464.25x = 696.46 × 156.13
  4. Step 4: Simplify right side
    464.25x = 108,734.82
  5. Step 5: Solve for x
    x = 108,734.82/464.25
  6. Step 6: Final answer
    x = 234.22

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