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Finding the Fourth Proportional to 316.46, 436.77 and 206.03

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Solution

The fourth proportional to 316.46, 436.77 and 206.03 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 436.77 = 206.03 : x
  2. Step 2: Convert to fraction form
    316.46/436.77 = 206.03/x
  3. Step 3: Cross multiply
    316.46x = 436.77 × 206.03
  4. Step 4: Simplify right side
    316.46x = 89,985.54
  5. Step 5: Solve for x
    x = 89,985.54/316.46
  6. Step 6: Final answer
    x = 284.35

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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.