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Finding the Fourth Proportional to 419.14, 628.64 and 111

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Solution

The fourth proportional to 419.14, 628.64 and 111 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 628.64 = 111 : x
  2. Step 2: Convert to fraction form
    419.14/628.64 = 111/x
  3. Step 3: Cross multiply
    419.14x = 628.64 × 111
  4. Step 4: Simplify right side
    419.14x = 69,779.32
  5. Step 5: Solve for x
    x = 69,779.32/419.14
  6. Step 6: Final answer
    x = 166.48

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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.