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Finding the Fourth Proportional to 262.88, 362.77 and 146.44

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Solution

The fourth proportional to 262.88, 362.77 and 146.44 is: 202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 362.77 = 146.44 : x
  2. Step 2: Convert to fraction form
    262.88/362.77 = 146.44/x
  3. Step 3: Cross multiply
    262.88x = 362.77 × 146.44
  4. Step 4: Simplify right side
    262.88x = 53,124.04
  5. Step 5: Solve for x
    x = 53,124.04/262.88
  6. Step 6: Final answer
    x = 202.08

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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.