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Finding the Fourth Proportional to 784, 1,176 and 206.88

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Solution

The fourth proportional to 784, 1,176 and 206.88 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,176 = 206.88 : x
  2. Step 2: Convert to fraction form
    784/1,176 = 206.88/x
  3. Step 3: Cross multiply
    784x = 1,176 × 206.88
  4. Step 4: Simplify right side
    784x = 243,290.88
  5. Step 5: Solve for x
    x = 243,290.88/784
  6. Step 6: Final answer
    x = 310.32

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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.