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Finding the Fourth Proportional to 257.61, 355 and 170.13

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Solution

The fourth proportional to 257.61, 355 and 170.13 is: 234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.61 : 355 = 170.13 : x
  2. Step 2: Convert to fraction form
    257.61/355 = 170.13/x
  3. Step 3: Cross multiply
    257.61x = 355 × 170.13
  4. Step 4: Simplify right side
    257.61x = 60,396.15
  5. Step 5: Solve for x
    x = 60,396.15/257.61
  6. Step 6: Final answer
    x = 234.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.