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Finding the Fourth Proportional to 210.03, 289.82 and 121.49

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Solution

The fourth proportional to 210.03, 289.82 and 121.49 is: 167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.03 : 289.82 = 121.49 : x
  2. Step 2: Convert to fraction form
    210.03/289.82 = 121.49/x
  3. Step 3: Cross multiply
    210.03x = 289.82 × 121.49
  4. Step 4: Simplify right side
    210.03x = 35,208.18
  5. Step 5: Solve for x
    x = 35,208.18/210.03
  6. Step 6: Final answer
    x = 167.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.