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Finding the Fourth Proportional to 253.51, 380.27 and 99.43

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Solution

The fourth proportional to 253.51, 380.27 and 99.43 is: 149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.51 : 380.27 = 99.43 : x
  2. Step 2: Convert to fraction form
    253.51/380.27 = 99.43/x
  3. Step 3: Cross multiply
    253.51x = 380.27 × 99.43
  4. Step 4: Simplify right side
    253.51x = 37,810.25
  5. Step 5: Solve for x
    x = 37,810.25/253.51
  6. Step 6: Final answer
    x = 149.15

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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.