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Finding the Fourth Proportional to 235.10, 352.04 and 162.20

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Solution

The fourth proportional to 235.10, 352.04 and 162.20 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 352.04 = 162.20 : x
  2. Step 2: Convert to fraction form
    235.10/352.04 = 162.20/x
  3. Step 3: Cross multiply
    235.10x = 352.04 × 162.20
  4. Step 4: Simplify right side
    235.10x = 57,098.32
  5. Step 5: Solve for x
    x = 57,098.32/235.10
  6. Step 6: Final answer
    x = 242.87

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