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Finding the Fourth Proportional to 269.34, 404.00 and 188.24

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Solution

The fourth proportional to 269.34, 404.00 and 188.24 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.34 : 404.00 = 188.24 : x
  2. Step 2: Convert to fraction form
    269.34/404.00 = 188.24/x
  3. Step 3: Cross multiply
    269.34x = 404.00 × 188.24
  4. Step 4: Simplify right side
    269.34x = 76,047.41
  5. Step 5: Solve for x
    x = 76,047.41/269.34
  6. Step 6: Final answer
    x = 282.35

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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.