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Finding the Fourth Proportional to 282.84, 423.97 and 109.46

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Solution

The fourth proportional to 282.84, 423.97 and 109.46 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 423.97 = 109.46 : x
  2. Step 2: Convert to fraction form
    282.84/423.97 = 109.46/x
  3. Step 3: Cross multiply
    282.84x = 423.97 × 109.46
  4. Step 4: Simplify right side
    282.84x = 46,407.76
  5. Step 5: Solve for x
    x = 46,407.76/282.84
  6. Step 6: Final answer
    x = 164.08

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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.