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Finding the Fourth Proportional to 296.14, 443.93 and 103.66

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Solution

The fourth proportional to 296.14, 443.93 and 103.66 is: 155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 443.93 = 103.66 : x
  2. Step 2: Convert to fraction form
    296.14/443.93 = 103.66/x
  3. Step 3: Cross multiply
    296.14x = 443.93 × 103.66
  4. Step 4: Simplify right side
    296.14x = 46,015.82
  5. Step 5: Solve for x
    x = 46,015.82/296.14
  6. Step 6: Final answer
    x = 155.39

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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.