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Finding the Fourth Proportional to 253.88, 380.82 and 145.44

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Solution

The fourth proportional to 253.88, 380.82 and 145.44 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.88 : 380.82 = 145.44 : x
  2. Step 2: Convert to fraction form
    253.88/380.82 = 145.44/x
  3. Step 3: Cross multiply
    253.88x = 380.82 × 145.44
  4. Step 4: Simplify right side
    253.88x = 55,386.46
  5. Step 5: Solve for x
    x = 55,386.46/253.88
  6. Step 6: Final answer
    x = 218.16

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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.