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Finding the Fourth Proportional to 307.19, 460.78 and 79.19

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Solution

The fourth proportional to 307.19, 460.78 and 79.19 is: 118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.19 : 460.78 = 79.19 : x
  2. Step 2: Convert to fraction form
    307.19/460.78 = 79.19/x
  3. Step 3: Cross multiply
    307.19x = 460.78 × 79.19
  4. Step 4: Simplify right side
    307.19x = 36,488.12
  5. Step 5: Solve for x
    x = 36,488.12/307.19
  6. Step 6: Final answer
    x = 118.78

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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.