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Finding the Fourth Proportional to 783.14, 1,174.77 and 206

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Solution

The fourth proportional to 783.14, 1,174.77 and 206 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.14 : 1,174.77 = 206 : x
  2. Step 2: Convert to fraction form
    783.14/1,174.77 = 206/x
  3. Step 3: Cross multiply
    783.14x = 1,174.77 × 206
  4. Step 4: Simplify right side
    783.14x = 242,002.62
  5. Step 5: Solve for x
    x = 242,002.62/783.14
  6. Step 6: Final answer
    x = 309.02

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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.