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Finding the Fourth Proportional to 307.06, 459.98 and 190.96

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Solution

The fourth proportional to 307.06, 459.98 and 190.96 is: 286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.06 : 459.98 = 190.96 : x
  2. Step 2: Convert to fraction form
    307.06/459.98 = 190.96/x
  3. Step 3: Cross multiply
    307.06x = 459.98 × 190.96
  4. Step 4: Simplify right side
    307.06x = 87,837.78
  5. Step 5: Solve for x
    x = 87,837.78/307.06
  6. Step 6: Final answer
    x = 286.06

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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.