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Finding the Fourth Proportional to 257.88, 387.29 and 189.54

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Solution

The fourth proportional to 257.88, 387.29 and 189.54 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.88 : 387.29 = 189.54 : x
  2. Step 2: Convert to fraction form
    257.88/387.29 = 189.54/x
  3. Step 3: Cross multiply
    257.88x = 387.29 × 189.54
  4. Step 4: Simplify right side
    257.88x = 73,406.95
  5. Step 5: Solve for x
    x = 73,406.95/257.88
  6. Step 6: Final answer
    x = 284.66

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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.