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Finding the Fourth Proportional to 237.85, 356.95 and 180.14

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Solution

The fourth proportional to 237.85, 356.95 and 180.14 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.85 : 356.95 = 180.14 : x
  2. Step 2: Convert to fraction form
    237.85/356.95 = 180.14/x
  3. Step 3: Cross multiply
    237.85x = 356.95 × 180.14
  4. Step 4: Simplify right side
    237.85x = 64,300.07
  5. Step 5: Solve for x
    x = 64,300.07/237.85
  6. Step 6: Final answer
    x = 270.34

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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.