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Finding the Fourth Proportional to 210.32, 290.23 and 117.06

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Solution

The fourth proportional to 210.32, 290.23 and 117.06 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 290.23 = 117.06 : x
  2. Step 2: Convert to fraction form
    210.32/290.23 = 117.06/x
  3. Step 3: Cross multiply
    210.32x = 290.23 × 117.06
  4. Step 4: Simplify right side
    210.32x = 33,974.03
  5. Step 5: Solve for x
    x = 33,974.03/210.32
  6. Step 6: Final answer
    x = 161.54

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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.