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Finding the Fourth Proportional to 172.16, 256.72 and 169.96

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Solution

The fourth proportional to 172.16, 256.72 and 169.96 is: 253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 256.72 = 169.96 : x
  2. Step 2: Convert to fraction form
    172.16/256.72 = 169.96/x
  3. Step 3: Cross multiply
    172.16x = 256.72 × 169.96
  4. Step 4: Simplify right side
    172.16x = 43,632.13
  5. Step 5: Solve for x
    x = 43,632.13/172.16
  6. Step 6: Final answer
    x = 253.44

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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.