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Finding the Fourth Proportional to 263.37, 363.43 and 152.86

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Solution

The fourth proportional to 263.37, 363.43 and 152.86 is: 210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.37 : 363.43 = 152.86 : x
  2. Step 2: Convert to fraction form
    263.37/363.43 = 152.86/x
  3. Step 3: Cross multiply
    263.37x = 363.43 × 152.86
  4. Step 4: Simplify right side
    263.37x = 55,551.33
  5. Step 5: Solve for x
    x = 55,551.33/263.37
  6. Step 6: Final answer
    x = 210.93

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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.