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Finding the Fourth Proportional to 165.54, 247.51 and 140.16

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Solution

The fourth proportional to 165.54, 247.51 and 140.16 is: 209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.54 : 247.51 = 140.16 : x
  2. Step 2: Convert to fraction form
    165.54/247.51 = 140.16/x
  3. Step 3: Cross multiply
    165.54x = 247.51 × 140.16
  4. Step 4: Simplify right side
    165.54x = 34,689.23
  5. Step 5: Solve for x
    x = 34,689.23/165.54
  6. Step 6: Final answer
    x = 209.55

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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.