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Finding the Fourth Proportional to 253.64, 380.35 and 107.45

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Solution

The fourth proportional to 253.64, 380.35 and 107.45 is: 161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.64 : 380.35 = 107.45 : x
  2. Step 2: Convert to fraction form
    253.64/380.35 = 107.45/x
  3. Step 3: Cross multiply
    253.64x = 380.35 × 107.45
  4. Step 4: Simplify right side
    253.64x = 40,868.07
  5. Step 5: Solve for x
    x = 40,868.07/253.64
  6. Step 6: Final answer
    x = 161.13

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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.