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Finding the Fourth Proportional to 172.01, 257.65 and 143.05

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Solution

The fourth proportional to 172.01, 257.65 and 143.05 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.01 : 257.65 = 143.05 : x
  2. Step 2: Convert to fraction form
    172.01/257.65 = 143.05/x
  3. Step 3: Cross multiply
    172.01x = 257.65 × 143.05
  4. Step 4: Simplify right side
    172.01x = 36,856.83
  5. Step 5: Solve for x
    x = 36,856.83/172.01
  6. Step 6: Final answer
    x = 214.27

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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.