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Finding the Fourth Proportional to 172.53, 257.58 and 171.32

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Solution

The fourth proportional to 172.53, 257.58 and 171.32 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.53 : 257.58 = 171.32 : x
  2. Step 2: Convert to fraction form
    172.53/257.58 = 171.32/x
  3. Step 3: Cross multiply
    172.53x = 257.58 × 171.32
  4. Step 4: Simplify right side
    172.53x = 44,127.32
  5. Step 5: Solve for x
    x = 44,127.32/172.53
  6. Step 6: Final answer
    x = 255.77

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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.