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Finding the Fourth Proportional to 210.02, 289.85 and 161.01

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Solution

The fourth proportional to 210.02, 289.85 and 161.01 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 289.85 = 161.01 : x
  2. Step 2: Convert to fraction form
    210.02/289.85 = 161.01/x
  3. Step 3: Cross multiply
    210.02x = 289.85 × 161.01
  4. Step 4: Simplify right side
    210.02x = 46,667.94
  5. Step 5: Solve for x
    x = 46,667.94/210.02
  6. Step 6: Final answer
    x = 222.21

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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.