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Finding the Fourth Proportional to 219.90, 303.63 and 165.24

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Solution

The fourth proportional to 219.90, 303.63 and 165.24 is: 228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 303.63 = 165.24 : x
  2. Step 2: Convert to fraction form
    219.90/303.63 = 165.24/x
  3. Step 3: Cross multiply
    219.90x = 303.63 × 165.24
  4. Step 4: Simplify right side
    219.90x = 50,171.82
  5. Step 5: Solve for x
    x = 50,171.82/219.90
  6. Step 6: Final answer
    x = 228.16

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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.