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Finding the Fourth Proportional to 261.75, 393.21 and 170.59

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Solution

The fourth proportional to 261.75, 393.21 and 170.59 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.75 : 393.21 = 170.59 : x
  2. Step 2: Convert to fraction form
    261.75/393.21 = 170.59/x
  3. Step 3: Cross multiply
    261.75x = 393.21 × 170.59
  4. Step 4: Simplify right side
    261.75x = 67,076.84
  5. Step 5: Solve for x
    x = 67,076.84/261.75
  6. Step 6: Final answer
    x = 256.26

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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.