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Finding the Fourth Proportional to 256.70, 385.25 and 175.70

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Solution

The fourth proportional to 256.70, 385.25 and 175.70 is: 263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.70 : 385.25 = 175.70 : x
  2. Step 2: Convert to fraction form
    256.70/385.25 = 175.70/x
  3. Step 3: Cross multiply
    256.70x = 385.25 × 175.70
  4. Step 4: Simplify right side
    256.70x = 67,685.62
  5. Step 5: Solve for x
    x = 67,685.62/256.70
  6. Step 6: Final answer
    x = 263.68

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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.