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Finding the Fourth Proportional to 202.99, 280.34 and 166.54

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Solution

The fourth proportional to 202.99, 280.34 and 166.54 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 280.34 = 166.54 : x
  2. Step 2: Convert to fraction form
    202.99/280.34 = 166.54/x
  3. Step 3: Cross multiply
    202.99x = 280.34 × 166.54
  4. Step 4: Simplify right side
    202.99x = 46,687.82
  5. Step 5: Solve for x
    x = 46,687.82/202.99
  6. Step 6: Final answer
    x = 230.00

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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.