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Finding the Fourth Proportional to 289.72, 399.77 and 171.70

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Solution

The fourth proportional to 289.72, 399.77 and 171.70 is: 236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.72 : 399.77 = 171.70 : x
  2. Step 2: Convert to fraction form
    289.72/399.77 = 171.70/x
  3. Step 3: Cross multiply
    289.72x = 399.77 × 171.70
  4. Step 4: Simplify right side
    289.72x = 68,640.51
  5. Step 5: Solve for x
    x = 68,640.51/289.72
  6. Step 6: Final answer
    x = 236.92

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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.