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Finding the Fourth Proportional to 210.05, 290.01 and 160.84

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Solution

The fourth proportional to 210.05, 290.01 and 160.84 is: 222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 290.01 = 160.84 : x
  2. Step 2: Convert to fraction form
    210.05/290.01 = 160.84/x
  3. Step 3: Cross multiply
    210.05x = 290.01 × 160.84
  4. Step 4: Simplify right side
    210.05x = 46,645.21
  5. Step 5: Solve for x
    x = 46,645.21/210.05
  6. Step 6: Final answer
    x = 222.07

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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.