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Finding the Fourth Proportional to 209.27, 288.49 and 146.91

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Solution

The fourth proportional to 209.27, 288.49 and 146.91 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.27 : 288.49 = 146.91 : x
  2. Step 2: Convert to fraction form
    209.27/288.49 = 146.91/x
  3. Step 3: Cross multiply
    209.27x = 288.49 × 146.91
  4. Step 4: Simplify right side
    209.27x = 42,382.07
  5. Step 5: Solve for x
    x = 42,382.07/209.27
  6. Step 6: Final answer
    x = 202.52

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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.