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Finding the Fourth Proportional to 203.05, 279.98 and 166.10

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Solution

The fourth proportional to 203.05, 279.98 and 166.10 is: 229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.05 : 279.98 = 166.10 : x
  2. Step 2: Convert to fraction form
    203.05/279.98 = 166.10/x
  3. Step 3: Cross multiply
    203.05x = 279.98 × 166.10
  4. Step 4: Simplify right side
    203.05x = 46,502.45
  5. Step 5: Solve for x
    x = 46,502.45/203.05
  6. Step 6: Final answer
    x = 229.02

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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.