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Finding the Fourth Proportional to 263.80, 363.66 and 176.32

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Solution

The fourth proportional to 263.80, 363.66 and 176.32 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.80 : 363.66 = 176.32 : x
  2. Step 2: Convert to fraction form
    263.80/363.66 = 176.32/x
  3. Step 3: Cross multiply
    263.80x = 363.66 × 176.32
  4. Step 4: Simplify right side
    263.80x = 64,120.53
  5. Step 5: Solve for x
    x = 64,120.53/263.80
  6. Step 6: Final answer
    x = 243.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.