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Finding the Fourth Proportional to 148.78, 205.26 and 86.62

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Solution

The fourth proportional to 148.78, 205.26 and 86.62 is: 119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.78 : 205.26 = 86.62 : x
  2. Step 2: Convert to fraction form
    148.78/205.26 = 86.62/x
  3. Step 3: Cross multiply
    148.78x = 205.26 × 86.62
  4. Step 4: Simplify right side
    148.78x = 17,779.62
  5. Step 5: Solve for x
    x = 17,779.62/148.78
  6. Step 6: Final answer
    x = 119.50

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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.