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Finding the Fourth Proportional to 162.47, 224.36 and 118.47

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Solution

The fourth proportional to 162.47, 224.36 and 118.47 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.47 : 224.36 = 118.47 : x
  2. Step 2: Convert to fraction form
    162.47/224.36 = 118.47/x
  3. Step 3: Cross multiply
    162.47x = 224.36 × 118.47
  4. Step 4: Simplify right side
    162.47x = 26,579.58
  5. Step 5: Solve for x
    x = 26,579.58/162.47
  6. Step 6: Final answer
    x = 163.59

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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.