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Finding the Fourth Proportional to 269.53, 404.46 and 188.23

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Solution

The fourth proportional to 269.53, 404.46 and 188.23 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.53 : 404.46 = 188.23 : x
  2. Step 2: Convert to fraction form
    269.53/404.46 = 188.23/x
  3. Step 3: Cross multiply
    269.53x = 404.46 × 188.23
  4. Step 4: Simplify right side
    269.53x = 76,131.51
  5. Step 5: Solve for x
    x = 76,131.51/269.53
  6. Step 6: Final answer
    x = 282.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.