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Finding the Fourth Proportional to 256.65, 385.75 and 170.28

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Solution

The fourth proportional to 256.65, 385.75 and 170.28 is: 255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.65 : 385.75 = 170.28 : x
  2. Step 2: Convert to fraction form
    256.65/385.75 = 170.28/x
  3. Step 3: Cross multiply
    256.65x = 385.75 × 170.28
  4. Step 4: Simplify right side
    256.65x = 65,685.51
  5. Step 5: Solve for x
    x = 65,685.51/256.65
  6. Step 6: Final answer
    x = 255.93

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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.