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Finding the Fourth Proportional to 203.02, 279.93 and 166.06

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Solution

The fourth proportional to 203.02, 279.93 and 166.06 is: 228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.02 : 279.93 = 166.06 : x
  2. Step 2: Convert to fraction form
    203.02/279.93 = 166.06/x
  3. Step 3: Cross multiply
    203.02x = 279.93 × 166.06
  4. Step 4: Simplify right side
    203.02x = 46,485.18
  5. Step 5: Solve for x
    x = 46,485.18/203.02
  6. Step 6: Final answer
    x = 228.97

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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.