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Finding the Fourth Proportional to 316.66, 436.88 and 206.28

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Solution

The fourth proportional to 316.66, 436.88 and 206.28 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.66 : 436.88 = 206.28 : x
  2. Step 2: Convert to fraction form
    316.66/436.88 = 206.28/x
  3. Step 3: Cross multiply
    316.66x = 436.88 × 206.28
  4. Step 4: Simplify right side
    316.66x = 90,119.61
  5. Step 5: Solve for x
    x = 90,119.61/316.66
  6. Step 6: Final answer
    x = 284.59

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