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Finding the Fourth Proportional to 254.70, 381.69 and 152.06

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Solution

The fourth proportional to 254.70, 381.69 and 152.06 is: 227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.70 : 381.69 = 152.06 : x
  2. Step 2: Convert to fraction form
    254.70/381.69 = 152.06/x
  3. Step 3: Cross multiply
    254.70x = 381.69 × 152.06
  4. Step 4: Simplify right side
    254.70x = 58,037.87
  5. Step 5: Solve for x
    x = 58,037.87/254.70
  6. Step 6: Final answer
    x = 227.87

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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.