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Finding the Fourth Proportional to 282.96, 424.30 and 109.64

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Solution

The fourth proportional to 282.96, 424.30 and 109.64 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 424.30 = 109.64 : x
  2. Step 2: Convert to fraction form
    282.96/424.30 = 109.64/x
  3. Step 3: Cross multiply
    282.96x = 424.30 × 109.64
  4. Step 4: Simplify right side
    282.96x = 46,520.25
  5. Step 5: Solve for x
    x = 46,520.25/282.96
  6. Step 6: Final answer
    x = 164.41

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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.