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Finding the Fourth Proportional to 307.45, 460.77 and 144.98

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Solution

The fourth proportional to 307.45, 460.77 and 144.98 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 460.77 = 144.98 : x
  2. Step 2: Convert to fraction form
    307.45/460.77 = 144.98/x
  3. Step 3: Cross multiply
    307.45x = 460.77 × 144.98
  4. Step 4: Simplify right side
    307.45x = 66,802.43
  5. Step 5: Solve for x
    x = 66,802.43/307.45
  6. Step 6: Final answer
    x = 217.28

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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.