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Finding the Fourth Proportional to 307.05, 459.90 and 144.60

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Solution

The fourth proportional to 307.05, 459.90 and 144.60 is: 216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.05 : 459.90 = 144.60 : x
  2. Step 2: Convert to fraction form
    307.05/459.90 = 144.60/x
  3. Step 3: Cross multiply
    307.05x = 459.90 × 144.60
  4. Step 4: Simplify right side
    307.05x = 66,501.54
  5. Step 5: Solve for x
    x = 66,501.54/307.05
  6. Step 6: Final answer
    x = 216.58

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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.