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Finding the Fourth Proportional to 172.16, 257.84 and 133.34

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Solution

The fourth proportional to 172.16, 257.84 and 133.34 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 257.84 = 133.34 : x
  2. Step 2: Convert to fraction form
    172.16/257.84 = 133.34/x
  3. Step 3: Cross multiply
    172.16x = 257.84 × 133.34
  4. Step 4: Simplify right side
    172.16x = 34,378.93
  5. Step 5: Solve for x
    x = 34,378.93/172.16
  6. Step 6: Final answer
    x = 199.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.