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Finding the Fourth Proportional to 210.24, 289.34 and 161

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Solution

The fourth proportional to 210.24, 289.34 and 161 is: 221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 289.34 = 161 : x
  2. Step 2: Convert to fraction form
    210.24/289.34 = 161/x
  3. Step 3: Cross multiply
    210.24x = 289.34 × 161
  4. Step 4: Simplify right side
    210.24x = 46,583.74
  5. Step 5: Solve for x
    x = 46,583.74/210.24
  6. Step 6: Final answer
    x = 221.57

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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.