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Finding the Fourth Proportional to 162.85, 224.53 and 119.11

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Solution

The fourth proportional to 162.85, 224.53 and 119.11 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.85 : 224.53 = 119.11 : x
  2. Step 2: Convert to fraction form
    162.85/224.53 = 119.11/x
  3. Step 3: Cross multiply
    162.85x = 224.53 × 119.11
  4. Step 4: Simplify right side
    162.85x = 26,742.05
  5. Step 5: Solve for x
    x = 26,742.05/162.85
  6. Step 6: Final answer
    x = 164.22

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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.