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Finding the Fourth Proportional to 171.14, 236.05 and 145.08

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Solution

The fourth proportional to 171.14, 236.05 and 145.08 is: 200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 236.05 = 145.08 : x
  2. Step 2: Convert to fraction form
    171.14/236.05 = 145.08/x
  3. Step 3: Cross multiply
    171.14x = 236.05 × 145.08
  4. Step 4: Simplify right side
    171.14x = 34,245.77
  5. Step 5: Solve for x
    x = 34,245.77/171.14
  6. Step 6: Final answer
    x = 200.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.