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Finding the Fourth Proportional to 162, 241.95 and 140.16

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Solution

The fourth proportional to 162, 241.95 and 140.16 is: 209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 241.95 = 140.16 : x
  2. Step 2: Convert to fraction form
    162/241.95 = 140.16/x
  3. Step 3: Cross multiply
    162x = 241.95 × 140.16
  4. Step 4: Simplify right side
    162x = 33,911.71
  5. Step 5: Solve for x
    x = 33,911.71/162
  6. Step 6: Final answer
    x = 209.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.