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Finding the Fourth Proportional to 253.64, 380.54 and 99.56

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Solution

The fourth proportional to 253.64, 380.54 and 99.56 is: 149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.64 : 380.54 = 99.56 : x
  2. Step 2: Convert to fraction form
    253.64/380.54 = 99.56/x
  3. Step 3: Cross multiply
    253.64x = 380.54 × 99.56
  4. Step 4: Simplify right side
    253.64x = 37,886.56
  5. Step 5: Solve for x
    x = 37,886.56/253.64
  6. Step 6: Final answer
    x = 149.37

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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.