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Finding the Fourth Proportional to 307.75, 461.63 and 145.40

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Solution

The fourth proportional to 307.75, 461.63 and 145.40 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 461.63 = 145.40 : x
  2. Step 2: Convert to fraction form
    307.75/461.63 = 145.40/x
  3. Step 3: Cross multiply
    307.75x = 461.63 × 145.40
  4. Step 4: Simplify right side
    307.75x = 67,117.97
  5. Step 5: Solve for x
    x = 67,117.97/307.75
  6. Step 6: Final answer
    x = 218.09

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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.