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Finding the Fourth Proportional to 172.90, 257.80 and 170.77

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Solution

The fourth proportional to 172.90, 257.80 and 170.77 is: 254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.90 : 257.80 = 170.77 : x
  2. Step 2: Convert to fraction form
    172.90/257.80 = 170.77/x
  3. Step 3: Cross multiply
    172.90x = 257.80 × 170.77
  4. Step 4: Simplify right side
    172.90x = 44,024.51
  5. Step 5: Solve for x
    x = 44,024.51/172.90
  6. Step 6: Final answer
    x = 254.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.