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Finding the Fourth Proportional to 254.49, 379.64 and 242.88

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Solution

The fourth proportional to 254.49, 379.64 and 242.88 is: 362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.49 : 379.64 = 242.88 : x
  2. Step 2: Convert to fraction form
    254.49/379.64 = 242.88/x
  3. Step 3: Cross multiply
    254.49x = 379.64 × 242.88
  4. Step 4: Simplify right side
    254.49x = 92,206.96
  5. Step 5: Solve for x
    x = 92,206.96/254.49
  6. Step 6: Final answer
    x = 362.32

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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.