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Finding the Fourth Proportional to 210.62, 290.51 and 193.19

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Solution

The fourth proportional to 210.62, 290.51 and 193.19 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.62 : 290.51 = 193.19 : x
  2. Step 2: Convert to fraction form
    210.62/290.51 = 193.19/x
  3. Step 3: Cross multiply
    210.62x = 290.51 × 193.19
  4. Step 4: Simplify right side
    210.62x = 56,121.75
  5. Step 5: Solve for x
    x = 56,121.75/210.62
  6. Step 6: Final answer
    x = 266.47

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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.