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Finding the Fourth Proportional to 307.18, 460.62 and 170.19

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Solution

The fourth proportional to 307.18, 460.62 and 170.19 is: 255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.18 : 460.62 = 170.19 : x
  2. Step 2: Convert to fraction form
    307.18/460.62 = 170.19/x
  3. Step 3: Cross multiply
    307.18x = 460.62 × 170.19
  4. Step 4: Simplify right side
    307.18x = 78,392.92
  5. Step 5: Solve for x
    x = 78,392.92/307.18
  6. Step 6: Final answer
    x = 255.20

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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.