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Finding the Fourth Proportional to 282.29, 389.47 and 189.21

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Solution

The fourth proportional to 282.29, 389.47 and 189.21 is: 261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 389.47 = 189.21 : x
  2. Step 2: Convert to fraction form
    282.29/389.47 = 189.21/x
  3. Step 3: Cross multiply
    282.29x = 389.47 × 189.21
  4. Step 4: Simplify right side
    282.29x = 73,690.67
  5. Step 5: Solve for x
    x = 73,690.67/282.29
  6. Step 6: Final answer
    x = 261.05

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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.