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Finding the Fourth Proportional to 284.99, 427.41 and 130.91

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Solution

The fourth proportional to 284.99, 427.41 and 130.91 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 427.41 = 130.91 : x
  2. Step 2: Convert to fraction form
    284.99/427.41 = 130.91/x
  3. Step 3: Cross multiply
    284.99x = 427.41 × 130.91
  4. Step 4: Simplify right side
    284.99x = 55,950.11
  5. Step 5: Solve for x
    x = 55,950.11/284.99
  6. Step 6: Final answer
    x = 196.33

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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.