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Finding the Fourth Proportional to 219.63, 302.90 and 132.15

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Solution

The fourth proportional to 219.63, 302.90 and 132.15 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.63 : 302.90 = 132.15 : x
  2. Step 2: Convert to fraction form
    219.63/302.90 = 132.15/x
  3. Step 3: Cross multiply
    219.63x = 302.90 × 132.15
  4. Step 4: Simplify right side
    219.63x = 40,028.24
  5. Step 5: Solve for x
    x = 40,028.24/219.63
  6. Step 6: Final answer
    x = 182.25

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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.