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Finding the Fourth Proportional to 257.08, 354.50 and 198.76

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Solution

The fourth proportional to 257.08, 354.50 and 198.76 is: 274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.08 : 354.50 = 198.76 : x
  2. Step 2: Convert to fraction form
    257.08/354.50 = 198.76/x
  3. Step 3: Cross multiply
    257.08x = 354.50 × 198.76
  4. Step 4: Simplify right side
    257.08x = 70,460.42
  5. Step 5: Solve for x
    x = 70,460.42/257.08
  6. Step 6: Final answer
    x = 274.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.