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Finding the Fourth Proportional to 210.82, 291.04 and 140.98

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Solution

The fourth proportional to 210.82, 291.04 and 140.98 is: 194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 291.04 = 140.98 : x
  2. Step 2: Convert to fraction form
    210.82/291.04 = 140.98/x
  3. Step 3: Cross multiply
    210.82x = 291.04 × 140.98
  4. Step 4: Simplify right side
    210.82x = 41,030.82
  5. Step 5: Solve for x
    x = 41,030.82/210.82
  6. Step 6: Final answer
    x = 194.62

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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.