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Finding the Fourth Proportional to 253.84, 380.16 and 130.14

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Solution

The fourth proportional to 253.84, 380.16 and 130.14 is: 194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 380.16 = 130.14 : x
  2. Step 2: Convert to fraction form
    253.84/380.16 = 130.14/x
  3. Step 3: Cross multiply
    253.84x = 380.16 × 130.14
  4. Step 4: Simplify right side
    253.84x = 49,474.02
  5. Step 5: Solve for x
    x = 49,474.02/253.84
  6. Step 6: Final answer
    x = 194.90

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Why These Related Problems?

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