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Finding the Fourth Proportional to 263.30, 363.34 and 146.86

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Solution

The fourth proportional to 263.30, 363.34 and 146.86 is: 202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.30 : 363.34 = 146.86 : x
  2. Step 2: Convert to fraction form
    263.30/363.34 = 146.86/x
  3. Step 3: Cross multiply
    263.30x = 363.34 × 146.86
  4. Step 4: Simplify right side
    263.30x = 53,360.11
  5. Step 5: Solve for x
    x = 53,360.11/263.30
  6. Step 6: Final answer
    x = 202.66

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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.