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Finding the Fourth Proportional to 263.14, 363.14 and 146.71

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Solution

The fourth proportional to 263.14, 363.14 and 146.71 is: 202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.14 : 363.14 = 146.71 : x
  2. Step 2: Convert to fraction form
    263.14/363.14 = 146.71/x
  3. Step 3: Cross multiply
    263.14x = 363.14 × 146.71
  4. Step 4: Simplify right side
    263.14x = 53,276.27
  5. Step 5: Solve for x
    x = 53,276.27/263.14
  6. Step 6: Final answer
    x = 202.46

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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.