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Finding the Fourth Proportional to 307.63, 461.45 and 125.03

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Solution

The fourth proportional to 307.63, 461.45 and 125.03 is: 187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.63 : 461.45 = 125.03 : x
  2. Step 2: Convert to fraction form
    307.63/461.45 = 125.03/x
  3. Step 3: Cross multiply
    307.63x = 461.45 × 125.03
  4. Step 4: Simplify right side
    307.63x = 57,695.09
  5. Step 5: Solve for x
    x = 57,695.09/307.63
  6. Step 6: Final answer
    x = 187.55

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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.