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Finding the Fourth Proportional to 253.38, 377.57 and 238.98

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Solution

The fourth proportional to 253.38, 377.57 and 238.98 is: 356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.38 : 377.57 = 238.98 : x
  2. Step 2: Convert to fraction form
    253.38/377.57 = 238.98/x
  3. Step 3: Cross multiply
    253.38x = 377.57 × 238.98
  4. Step 4: Simplify right side
    253.38x = 90,230.48
  5. Step 5: Solve for x
    x = 90,230.48/253.38
  6. Step 6: Final answer
    x = 356.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.