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Finding the Fourth Proportional to 263.28, 363.30 and 146.82

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Solution

The fourth proportional to 263.28, 363.30 and 146.82 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 363.30 = 146.82 : x
  2. Step 2: Convert to fraction form
    263.28/363.30 = 146.82/x
  3. Step 3: Cross multiply
    263.28x = 363.30 × 146.82
  4. Step 4: Simplify right side
    263.28x = 53,339.71
  5. Step 5: Solve for x
    x = 53,339.71/263.28
  6. Step 6: Final answer
    x = 202.60

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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.