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Finding the Fourth Proportional to 253.78, 380.02 and 151.14

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Solution

The fourth proportional to 253.78, 380.02 and 151.14 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.78 : 380.02 = 151.14 : x
  2. Step 2: Convert to fraction form
    253.78/380.02 = 151.14/x
  3. Step 3: Cross multiply
    253.78x = 380.02 × 151.14
  4. Step 4: Simplify right side
    253.78x = 57,436.22
  5. Step 5: Solve for x
    x = 57,436.22/253.78
  6. Step 6: Final answer
    x = 226.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.