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Finding the Fourth Proportional to 253.99, 381.21 and 145.63

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Solution

The fourth proportional to 253.99, 381.21 and 145.63 is: 218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.99 : 381.21 = 145.63 : x
  2. Step 2: Convert to fraction form
    253.99/381.21 = 145.63/x
  3. Step 3: Cross multiply
    253.99x = 381.21 × 145.63
  4. Step 4: Simplify right side
    253.99x = 55,515.61
  5. Step 5: Solve for x
    x = 55,515.61/253.99
  6. Step 6: Final answer
    x = 218.57

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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.