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Finding the Fourth Proportional to 172.92, 260.70 and 170.58

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Solution

The fourth proportional to 172.92, 260.70 and 170.58 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.92 : 260.70 = 170.58 : x
  2. Step 2: Convert to fraction form
    172.92/260.70 = 170.58/x
  3. Step 3: Cross multiply
    172.92x = 260.70 × 170.58
  4. Step 4: Simplify right side
    172.92x = 44,470.21
  5. Step 5: Solve for x
    x = 44,470.21/172.92
  6. Step 6: Final answer
    x = 257.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.