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Finding the Fourth Proportional to 210.66, 290.76 and 161.46

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Solution

The fourth proportional to 210.66, 290.76 and 161.46 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.66 : 290.76 = 161.46 : x
  2. Step 2: Convert to fraction form
    210.66/290.76 = 161.46/x
  3. Step 3: Cross multiply
    210.66x = 290.76 × 161.46
  4. Step 4: Simplify right side
    210.66x = 46,946.11
  5. Step 5: Solve for x
    x = 46,946.11/210.66
  6. Step 6: Final answer
    x = 222.85

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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.