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Finding the Fourth Proportional to 210.50, 290.46 and 117.22

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Solution

The fourth proportional to 210.50, 290.46 and 117.22 is: 161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 290.46 = 117.22 : x
  2. Step 2: Convert to fraction form
    210.50/290.46 = 117.22/x
  3. Step 3: Cross multiply
    210.50x = 290.46 × 117.22
  4. Step 4: Simplify right side
    210.50x = 34,047.72
  5. Step 5: Solve for x
    x = 34,047.72/210.50
  6. Step 6: Final answer
    x = 161.75

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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.