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Finding the Fourth Proportional to 253.99, 350.48 and 149.07

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Solution

The fourth proportional to 253.99, 350.48 and 149.07 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.99 : 350.48 = 149.07 : x
  2. Step 2: Convert to fraction form
    253.99/350.48 = 149.07/x
  3. Step 3: Cross multiply
    253.99x = 350.48 × 149.07
  4. Step 4: Simplify right side
    253.99x = 52,246.43
  5. Step 5: Solve for x
    x = 52,246.43/253.99
  6. Step 6: Final answer
    x = 205.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.