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Finding the Fourth Proportional to 419.31, 629.13 and 188.14

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Solution

The fourth proportional to 419.31, 629.13 and 188.14 is: 282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 629.13 = 188.14 : x
  2. Step 2: Convert to fraction form
    419.31/629.13 = 188.14/x
  3. Step 3: Cross multiply
    419.31x = 629.13 × 188.14
  4. Step 4: Simplify right side
    419.31x = 118,363.65
  5. Step 5: Solve for x
    x = 118,363.65/419.31
  6. Step 6: Final answer
    x = 282.28

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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.