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Finding the Fourth Proportional to 253.29, 380.09 and 99.24

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Solution

The fourth proportional to 253.29, 380.09 and 99.24 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.29 : 380.09 = 99.24 : x
  2. Step 2: Convert to fraction form
    253.29/380.09 = 99.24/x
  3. Step 3: Cross multiply
    253.29x = 380.09 × 99.24
  4. Step 4: Simplify right side
    253.29x = 37,717.73
  5. Step 5: Solve for x
    x = 37,717.73/253.29
  6. Step 6: Final answer
    x = 148.91

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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.