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Finding the Fourth Proportional to 263.31, 363.40 and 146.90

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Solution

The fourth proportional to 263.31, 363.40 and 146.90 is: 202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.31 : 363.40 = 146.90 : x
  2. Step 2: Convert to fraction form
    263.31/363.40 = 146.90/x
  3. Step 3: Cross multiply
    263.31x = 363.40 × 146.90
  4. Step 4: Simplify right side
    263.31x = 53,383.46
  5. Step 5: Solve for x
    x = 53,383.46/263.31
  6. Step 6: Final answer
    x = 202.74

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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.