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Finding the Fourth Proportional to 262.77, 394.35 and 125.88

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Solution

The fourth proportional to 262.77, 394.35 and 125.88 is: 188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.77 : 394.35 = 125.88 : x
  2. Step 2: Convert to fraction form
    262.77/394.35 = 125.88/x
  3. Step 3: Cross multiply
    262.77x = 394.35 × 125.88
  4. Step 4: Simplify right side
    262.77x = 49,638.81
  5. Step 5: Solve for x
    x = 49,638.81/262.77
  6. Step 6: Final answer
    x = 188.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.