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Finding the Fourth Proportional to 202.96, 280.13 and 166.51

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Solution

The fourth proportional to 202.96, 280.13 and 166.51 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 280.13 = 166.51 : x
  2. Step 2: Convert to fraction form
    202.96/280.13 = 166.51/x
  3. Step 3: Cross multiply
    202.96x = 280.13 × 166.51
  4. Step 4: Simplify right side
    202.96x = 46,643.79
  5. Step 5: Solve for x
    x = 46,643.79/202.96
  6. Step 6: Final answer
    x = 229.82

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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.