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Finding the Fourth Proportional to 151.77, 209.46 and 86.28

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Solution

The fourth proportional to 151.77, 209.46 and 86.28 is: 119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.77 : 209.46 = 86.28 : x
  2. Step 2: Convert to fraction form
    151.77/209.46 = 86.28/x
  3. Step 3: Cross multiply
    151.77x = 209.46 × 86.28
  4. Step 4: Simplify right side
    151.77x = 18,072.21
  5. Step 5: Solve for x
    x = 18,072.21/151.77
  6. Step 6: Final answer
    x = 119.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.