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Finding the Fourth Proportional to 162.54, 244.67 and 140.20

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Solution

The fourth proportional to 162.54, 244.67 and 140.20 is: 211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.54 : 244.67 = 140.20 : x
  2. Step 2: Convert to fraction form
    162.54/244.67 = 140.20/x
  3. Step 3: Cross multiply
    162.54x = 244.67 × 140.20
  4. Step 4: Simplify right side
    162.54x = 34,301.42
  5. Step 5: Solve for x
    x = 34,301.42/162.54
  6. Step 6: Final answer
    x = 211.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.