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Finding the Fourth Proportional to 148.67, 205.14 and 86.50

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Solution

The fourth proportional to 148.67, 205.14 and 86.50 is: 119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.67 : 205.14 = 86.50 : x
  2. Step 2: Convert to fraction form
    148.67/205.14 = 86.50/x
  3. Step 3: Cross multiply
    148.67x = 205.14 × 86.50
  4. Step 4: Simplify right side
    148.67x = 17,744.61
  5. Step 5: Solve for x
    x = 17,744.61/148.67
  6. Step 6: Final answer
    x = 119.36

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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.