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Finding the Fourth Proportional to 365.83, 504.90 and 206.35

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Solution

The fourth proportional to 365.83, 504.90 and 206.35 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.83 : 504.90 = 206.35 : x
  2. Step 2: Convert to fraction form
    365.83/504.90 = 206.35/x
  3. Step 3: Cross multiply
    365.83x = 504.90 × 206.35
  4. Step 4: Simplify right side
    365.83x = 104,184.08
  5. Step 5: Solve for x
    x = 104,184.08/365.83
  6. Step 6: Final answer
    x = 284.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.