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Finding the Fourth Proportional to 227.84, 342.52 and 180.32

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Solution

The fourth proportional to 227.84, 342.52 and 180.32 is: 271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 342.52 = 180.32 : x
  2. Step 2: Convert to fraction form
    227.84/342.52 = 180.32/x
  3. Step 3: Cross multiply
    227.84x = 342.52 × 180.32
  4. Step 4: Simplify right side
    227.84x = 61,763.21
  5. Step 5: Solve for x
    x = 61,763.21/227.84
  6. Step 6: Final answer
    x = 271.08

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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.