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Finding the Fourth Proportional to 282.23, 423.04 and 152.09

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Solution

The fourth proportional to 282.23, 423.04 and 152.09 is: 227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 423.04 = 152.09 : x
  2. Step 2: Convert to fraction form
    282.23/423.04 = 152.09/x
  3. Step 3: Cross multiply
    282.23x = 423.04 × 152.09
  4. Step 4: Simplify right side
    282.23x = 64,340.15
  5. Step 5: Solve for x
    x = 64,340.15/282.23
  6. Step 6: Final answer
    x = 227.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.