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Finding the Fourth Proportional to 307.21, 460.98 and 124.73

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Solution

The fourth proportional to 307.21, 460.98 and 124.73 is: 187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.21 : 460.98 = 124.73 : x
  2. Step 2: Convert to fraction form
    307.21/460.98 = 124.73/x
  3. Step 3: Cross multiply
    307.21x = 460.98 × 124.73
  4. Step 4: Simplify right side
    307.21x = 57,496.64
  5. Step 5: Solve for x
    x = 57,496.64/307.21
  6. Step 6: Final answer
    x = 187.16

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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.