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Finding the Fourth Proportional to 257.60, 385.72 and 209.36

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Solution

The fourth proportional to 257.60, 385.72 and 209.36 is: 313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 385.72 = 209.36 : x
  2. Step 2: Convert to fraction form
    257.60/385.72 = 209.36/x
  3. Step 3: Cross multiply
    257.60x = 385.72 × 209.36
  4. Step 4: Simplify right side
    257.60x = 80,754.34
  5. Step 5: Solve for x
    x = 80,754.34/257.60
  6. Step 6: Final answer
    x = 313.49

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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.