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Finding the Fourth Proportional to 210.17, 289.68 and 160.94

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Solution

The fourth proportional to 210.17, 289.68 and 160.94 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.17 : 289.68 = 160.94 : x
  2. Step 2: Convert to fraction form
    210.17/289.68 = 160.94/x
  3. Step 3: Cross multiply
    210.17x = 289.68 × 160.94
  4. Step 4: Simplify right side
    210.17x = 46,621.10
  5. Step 5: Solve for x
    x = 46,621.10/210.17
  6. Step 6: Final answer
    x = 221.83

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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.