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Finding the Fourth Proportional to 172.04, 256.51 and 160.48

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Solution

The fourth proportional to 172.04, 256.51 and 160.48 is: 239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 256.51 = 160.48 : x
  2. Step 2: Convert to fraction form
    172.04/256.51 = 160.48/x
  3. Step 3: Cross multiply
    172.04x = 256.51 × 160.48
  4. Step 4: Simplify right side
    172.04x = 41,164.72
  5. Step 5: Solve for x
    x = 41,164.72/172.04
  6. Step 6: Final answer
    x = 239.27

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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.