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Finding the Fourth Proportional to 282.24, 423.14 and 166.40

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Solution

The fourth proportional to 282.24, 423.14 and 166.40 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 423.14 = 166.40 : x
  2. Step 2: Convert to fraction form
    282.24/423.14 = 166.40/x
  3. Step 3: Cross multiply
    282.24x = 423.14 × 166.40
  4. Step 4: Simplify right side
    282.24x = 70,410.50
  5. Step 5: Solve for x
    x = 70,410.50/282.24
  6. Step 6: Final answer
    x = 249.47

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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.