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Finding the Fourth Proportional to 282.99, 424.38 and 109.57

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Solution

The fourth proportional to 282.99, 424.38 and 109.57 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.99 : 424.38 = 109.57 : x
  2. Step 2: Convert to fraction form
    282.99/424.38 = 109.57/x
  3. Step 3: Cross multiply
    282.99x = 424.38 × 109.57
  4. Step 4: Simplify right side
    282.99x = 46,499.32
  5. Step 5: Solve for x
    x = 46,499.32/282.99
  6. Step 6: Final answer
    x = 164.31

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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.