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Finding the Fourth Proportional to 257, 385.62 and 209

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Solution

The fourth proportional to 257, 385.62 and 209 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 385.62 = 209 : x
  2. Step 2: Convert to fraction form
    257/385.62 = 209/x
  3. Step 3: Cross multiply
    257x = 385.62 × 209
  4. Step 4: Simplify right side
    257x = 80,594.58
  5. Step 5: Solve for x
    x = 80,594.58/257
  6. Step 6: Final answer
    x = 313.60

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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.