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Finding the Fourth Proportional to 162.56, 243.60 and 116.94

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Solution

The fourth proportional to 162.56, 243.60 and 116.94 is: 175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 243.60 = 116.94 : x
  2. Step 2: Convert to fraction form
    162.56/243.60 = 116.94/x
  3. Step 3: Cross multiply
    162.56x = 243.60 × 116.94
  4. Step 4: Simplify right side
    162.56x = 28,486.58
  5. Step 5: Solve for x
    x = 28,486.58/162.56
  6. Step 6: Final answer
    x = 175.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.