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Finding the Fourth Proportional to 229.57, 343.64 and 171.45

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Solution

The fourth proportional to 229.57, 343.64 and 171.45 is: 256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.57 : 343.64 = 171.45 : x
  2. Step 2: Convert to fraction form
    229.57/343.64 = 171.45/x
  3. Step 3: Cross multiply
    229.57x = 343.64 × 171.45
  4. Step 4: Simplify right side
    229.57x = 58,917.51
  5. Step 5: Solve for x
    x = 58,917.51/229.57
  6. Step 6: Final answer
    x = 256.65

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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.