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Finding the Fourth Proportional to 219.69, 303.08 and 132.35

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Solution

The fourth proportional to 219.69, 303.08 and 132.35 is: 182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.69 : 303.08 = 132.35 : x
  2. Step 2: Convert to fraction form
    219.69/303.08 = 132.35/x
  3. Step 3: Cross multiply
    219.69x = 303.08 × 132.35
  4. Step 4: Simplify right side
    219.69x = 40,110.46
  5. Step 5: Solve for x
    x = 40,110.46/219.69
  6. Step 6: Final answer
    x = 182.58

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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.