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Finding the Fourth Proportional to 147.92, 204.21 and 114.65

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Solution

The fourth proportional to 147.92, 204.21 and 114.65 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.92 : 204.21 = 114.65 : x
  2. Step 2: Convert to fraction form
    147.92/204.21 = 114.65/x
  3. Step 3: Cross multiply
    147.92x = 204.21 × 114.65
  4. Step 4: Simplify right side
    147.92x = 23,413.35
  5. Step 5: Solve for x
    x = 23,413.35/147.92
  6. Step 6: Final answer
    x = 158.28

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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.