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Finding the Fourth Proportional to 202.77, 279.95 and 166.02

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Solution

The fourth proportional to 202.77, 279.95 and 166.02 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.77 : 279.95 = 166.02 : x
  2. Step 2: Convert to fraction form
    202.77/279.95 = 166.02/x
  3. Step 3: Cross multiply
    202.77x = 279.95 × 166.02
  4. Step 4: Simplify right side
    202.77x = 46,477.30
  5. Step 5: Solve for x
    x = 46,477.30/202.77
  6. Step 6: Final answer
    x = 229.21

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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.