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Finding the Fourth Proportional to 162.19, 224 and 113.19

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Solution

The fourth proportional to 162.19, 224 and 113.19 is: 156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.19 : 224 = 113.19 : x
  2. Step 2: Convert to fraction form
    162.19/224 = 113.19/x
  3. Step 3: Cross multiply
    162.19x = 224 × 113.19
  4. Step 4: Simplify right side
    162.19x = 25,354.56
  5. Step 5: Solve for x
    x = 25,354.56/162.19
  6. Step 6: Final answer
    x = 156.33

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