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Finding the Fourth Proportional to 261.74, 393.16 and 170.58

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Solution

The fourth proportional to 261.74, 393.16 and 170.58 is: 256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 393.16 = 170.58 : x
  2. Step 2: Convert to fraction form
    261.74/393.16 = 170.58/x
  3. Step 3: Cross multiply
    261.74x = 393.16 × 170.58
  4. Step 4: Simplify right side
    261.74x = 67,065.23
  5. Step 5: Solve for x
    x = 67,065.23/261.74
  6. Step 6: Final answer
    x = 256.23

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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.