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Finding the Fourth Proportional to 785.97, 1,178.80 and 238.00

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Solution

The fourth proportional to 785.97, 1,178.80 and 238.00 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.97 : 1,178.80 = 238.00 : x
  2. Step 2: Convert to fraction form
    785.97/1,178.80 = 238.00/x
  3. Step 3: Cross multiply
    785.97x = 1,178.80 × 238.00
  4. Step 4: Simplify right side
    785.97x = 280,555.28
  5. Step 5: Solve for x
    x = 280,555.28/785.97
  6. Step 6: Final answer
    x = 356.96

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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.