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Finding the Fourth Proportional to 263.06, 363.04 and 146.63

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Solution

The fourth proportional to 263.06, 363.04 and 146.63 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 363.04 = 146.63 : x
  2. Step 2: Convert to fraction form
    263.06/363.04 = 146.63/x
  3. Step 3: Cross multiply
    263.06x = 363.04 × 146.63
  4. Step 4: Simplify right side
    263.06x = 53,230.37
  5. Step 5: Solve for x
    x = 53,230.37/263.06
  6. Step 6: Final answer
    x = 202.35

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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.