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Finding the Fourth Proportional to 202.97, 279.99 and 166.05

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Solution

The fourth proportional to 202.97, 279.99 and 166.05 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 279.99 = 166.05 : x
  2. Step 2: Convert to fraction form
    202.97/279.99 = 166.05/x
  3. Step 3: Cross multiply
    202.97x = 279.99 × 166.05
  4. Step 4: Simplify right side
    202.97x = 46,492.34
  5. Step 5: Solve for x
    x = 46,492.34/202.97
  6. Step 6: Final answer
    x = 229.06

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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.