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Finding the Fourth Proportional to 307.54, 460.30 and 168.50

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Solution

The fourth proportional to 307.54, 460.30 and 168.50 is: 252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.54 : 460.30 = 168.50 : x
  2. Step 2: Convert to fraction form
    307.54/460.30 = 168.50/x
  3. Step 3: Cross multiply
    307.54x = 460.30 × 168.50
  4. Step 4: Simplify right side
    307.54x = 77,559.71
  5. Step 5: Solve for x
    x = 77,559.71/307.54
  6. Step 6: Final answer
    x = 252.20

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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.