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Finding the Fourth Proportional to 307.25, 460.93 and 170.00

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Solution

The fourth proportional to 307.25, 460.93 and 170.00 is: 255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 460.93 = 170.00 : x
  2. Step 2: Convert to fraction form
    307.25/460.93 = 170.00/x
  3. Step 3: Cross multiply
    307.25x = 460.93 × 170.00
  4. Step 4: Simplify right side
    307.25x = 78,359.84
  5. Step 5: Solve for x
    x = 78,359.84/307.25
  6. Step 6: Final answer
    x = 255.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.