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Finding the Fourth Proportional to 307.22, 459.67 and 183.36

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Solution

The fourth proportional to 307.22, 459.67 and 183.36 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 459.67 = 183.36 : x
  2. Step 2: Convert to fraction form
    307.22/459.67 = 183.36/x
  3. Step 3: Cross multiply
    307.22x = 459.67 × 183.36
  4. Step 4: Simplify right side
    307.22x = 84,284.17
  5. Step 5: Solve for x
    x = 84,284.17/307.22
  6. Step 6: Final answer
    x = 274.34

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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.