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Finding the Fourth Proportional to 253.46, 380.24 and 99.46

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Solution

The fourth proportional to 253.46, 380.24 and 99.46 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.46 : 380.24 = 99.46 : x
  2. Step 2: Convert to fraction form
    253.46/380.24 = 99.46/x
  3. Step 3: Cross multiply
    253.46x = 380.24 × 99.46
  4. Step 4: Simplify right side
    253.46x = 37,819.02
  5. Step 5: Solve for x
    x = 37,819.02/253.46
  6. Step 6: Final answer
    x = 149.21

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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.