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Finding the Fourth Proportional to 237.78, 356.76 and 109.50

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Solution

The fourth proportional to 237.78, 356.76 and 109.50 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 356.76 = 109.50 : x
  2. Step 2: Convert to fraction form
    237.78/356.76 = 109.50/x
  3. Step 3: Cross multiply
    237.78x = 356.76 × 109.50
  4. Step 4: Simplify right side
    237.78x = 39,065.22
  5. Step 5: Solve for x
    x = 39,065.22/237.78
  6. Step 6: Final answer
    x = 164.29

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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.