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Finding the Fourth Proportional to 251.63, 377.10 and 135.92

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Solution

The fourth proportional to 251.63, 377.10 and 135.92 is: 203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.63 : 377.10 = 135.92 : x
  2. Step 2: Convert to fraction form
    251.63/377.10 = 135.92/x
  3. Step 3: Cross multiply
    251.63x = 377.10 × 135.92
  4. Step 4: Simplify right side
    251.63x = 51,253.55
  5. Step 5: Solve for x
    x = 51,253.55/251.63
  6. Step 6: Final answer
    x = 203.69

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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.