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Finding the Fourth Proportional to 219.64, 303.14 and 132.32

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Solution

The fourth proportional to 219.64, 303.14 and 132.32 is: 182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 303.14 = 132.32 : x
  2. Step 2: Convert to fraction form
    219.64/303.14 = 132.32/x
  3. Step 3: Cross multiply
    219.64x = 303.14 × 132.32
  4. Step 4: Simplify right side
    219.64x = 40,109.31
  5. Step 5: Solve for x
    x = 40,109.31/219.64
  6. Step 6: Final answer
    x = 182.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.