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Finding the Fourth Proportional to 254.17, 380.58 and 208

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Solution

The fourth proportional to 254.17, 380.58 and 208 is: 311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.17 : 380.58 = 208 : x
  2. Step 2: Convert to fraction form
    254.17/380.58 = 208/x
  3. Step 3: Cross multiply
    254.17x = 380.58 × 208
  4. Step 4: Simplify right side
    254.17x = 79,160.64
  5. Step 5: Solve for x
    x = 79,160.64/254.17
  6. Step 6: Final answer
    x = 311.45

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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.