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Finding the Fourth Proportional to 210.60, 290.76 and 164.04

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Solution

The fourth proportional to 210.60, 290.76 and 164.04 is: 226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.60 : 290.76 = 164.04 : x
  2. Step 2: Convert to fraction form
    210.60/290.76 = 164.04/x
  3. Step 3: Cross multiply
    210.60x = 290.76 × 164.04
  4. Step 4: Simplify right side
    210.60x = 47,696.27
  5. Step 5: Solve for x
    x = 47,696.27/210.60
  6. Step 6: Final answer
    x = 226.48

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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.