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Finding the Fourth Proportional to 202.30, 278.89 and 168.10

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Solution

The fourth proportional to 202.30, 278.89 and 168.10 is: 231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 278.89 = 168.10 : x
  2. Step 2: Convert to fraction form
    202.30/278.89 = 168.10/x
  3. Step 3: Cross multiply
    202.30x = 278.89 × 168.10
  4. Step 4: Simplify right side
    202.30x = 46,881.41
  5. Step 5: Solve for x
    x = 46,881.41/202.30
  6. Step 6: Final answer
    x = 231.74

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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.