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Finding the Fourth Proportional to 253.47, 380.21 and 151.48

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Solution

The fourth proportional to 253.47, 380.21 and 151.48 is: 227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.47 : 380.21 = 151.48 : x
  2. Step 2: Convert to fraction form
    253.47/380.21 = 151.48/x
  3. Step 3: Cross multiply
    253.47x = 380.21 × 151.48
  4. Step 4: Simplify right side
    253.47x = 57,594.21
  5. Step 5: Solve for x
    x = 57,594.21/253.47
  6. Step 6: Final answer
    x = 227.22

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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.