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Finding the Fourth Proportional to 286.99, 430.21 and 142.63

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Solution

The fourth proportional to 286.99, 430.21 and 142.63 is: 213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 430.21 = 142.63 : x
  2. Step 2: Convert to fraction form
    286.99/430.21 = 142.63/x
  3. Step 3: Cross multiply
    286.99x = 430.21 × 142.63
  4. Step 4: Simplify right side
    286.99x = 61,360.85
  5. Step 5: Solve for x
    x = 61,360.85/286.99
  6. Step 6: Final answer
    x = 213.81

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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.