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Finding the Fourth Proportional to 162.05, 224.53 and 158.59

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Solution

The fourth proportional to 162.05, 224.53 and 158.59 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 224.53 = 158.59 : x
  2. Step 2: Convert to fraction form
    162.05/224.53 = 158.59/x
  3. Step 3: Cross multiply
    162.05x = 224.53 × 158.59
  4. Step 4: Simplify right side
    162.05x = 35,607.25
  5. Step 5: Solve for x
    x = 35,607.25/162.05
  6. Step 6: Final answer
    x = 219.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.