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Finding the Fourth Proportional to 209.99, 316.71 and 200.48

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Solution

The fourth proportional to 209.99, 316.71 and 200.48 is: 302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 316.71 = 200.48 : x
  2. Step 2: Convert to fraction form
    209.99/316.71 = 200.48/x
  3. Step 3: Cross multiply
    209.99x = 316.71 × 200.48
  4. Step 4: Simplify right side
    209.99x = 63,492.44
  5. Step 5: Solve for x
    x = 63,492.44/209.99
  6. Step 6: Final answer
    x = 302.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.