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Finding the Fourth Proportional to 249.21, 373.70 and 102.94

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Solution

The fourth proportional to 249.21, 373.70 and 102.94 is: 154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.21 : 373.70 = 102.94 : x
  2. Step 2: Convert to fraction form
    249.21/373.70 = 102.94/x
  3. Step 3: Cross multiply
    249.21x = 373.70 × 102.94
  4. Step 4: Simplify right side
    249.21x = 38,468.00
  5. Step 5: Solve for x
    x = 38,468.00/249.21
  6. Step 6: Final answer
    x = 154.36

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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.