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Finding the Fourth Proportional to 202.91, 302.67 and 179.82

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Solution

The fourth proportional to 202.91, 302.67 and 179.82 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.91 : 302.67 = 179.82 : x
  2. Step 2: Convert to fraction form
    202.91/302.67 = 179.82/x
  3. Step 3: Cross multiply
    202.91x = 302.67 × 179.82
  4. Step 4: Simplify right side
    202.91x = 54,426.12
  5. Step 5: Solve for x
    x = 54,426.12/202.91
  6. Step 6: Final answer
    x = 268.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.