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Finding the Fourth Proportional to 242.82, 364.26 and 78.28

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Solution

The fourth proportional to 242.82, 364.26 and 78.28 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.82 : 364.26 = 78.28 : x
  2. Step 2: Convert to fraction form
    242.82/364.26 = 78.28/x
  3. Step 3: Cross multiply
    242.82x = 364.26 × 78.28
  4. Step 4: Simplify right side
    242.82x = 28,514.27
  5. Step 5: Solve for x
    x = 28,514.27/242.82
  6. Step 6: Final answer
    x = 117.43

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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.