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Finding the Fourth Proportional to 256.60, 385.08 and 207.96

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Solution

The fourth proportional to 256.60, 385.08 and 207.96 is: 312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.60 : 385.08 = 207.96 : x
  2. Step 2: Convert to fraction form
    256.60/385.08 = 207.96/x
  3. Step 3: Cross multiply
    256.60x = 385.08 × 207.96
  4. Step 4: Simplify right side
    256.60x = 80,081.24
  5. Step 5: Solve for x
    x = 80,081.24/256.60
  6. Step 6: Final answer
    x = 312.09

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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.