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Finding the Fourth Proportional to 148.91, 205.25 and 117.77

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Solution

The fourth proportional to 148.91, 205.25 and 117.77 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.91 : 205.25 = 117.77 : x
  2. Step 2: Convert to fraction form
    148.91/205.25 = 117.77/x
  3. Step 3: Cross multiply
    148.91x = 205.25 × 117.77
  4. Step 4: Simplify right side
    148.91x = 24,172.29
  5. Step 5: Solve for x
    x = 24,172.29/148.91
  6. Step 6: Final answer
    x = 162.33

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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.