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Finding the Fourth Proportional to 282.26, 423.52 and 154

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Solution

The fourth proportional to 282.26, 423.52 and 154 is: 231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 423.52 = 154 : x
  2. Step 2: Convert to fraction form
    282.26/423.52 = 154/x
  3. Step 3: Cross multiply
    282.26x = 423.52 × 154
  4. Step 4: Simplify right side
    282.26x = 65,222.08
  5. Step 5: Solve for x
    x = 65,222.08/282.26
  6. Step 6: Final answer
    x = 231.07

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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.