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Finding the Fourth Proportional to 283.36, 423.56 and 201.76

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Solution

The fourth proportional to 283.36, 423.56 and 201.76 is: 301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.36 : 423.56 = 201.76 : x
  2. Step 2: Convert to fraction form
    283.36/423.56 = 201.76/x
  3. Step 3: Cross multiply
    283.36x = 423.56 × 201.76
  4. Step 4: Simplify right side
    283.36x = 85,457.47
  5. Step 5: Solve for x
    x = 85,457.47/283.36
  6. Step 6: Final answer
    x = 301.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.