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Finding the Fourth Proportional to 192.15, 288.21 and 146.75

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Solution

The fourth proportional to 192.15, 288.21 and 146.75 is: 220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.15 : 288.21 = 146.75 : x
  2. Step 2: Convert to fraction form
    192.15/288.21 = 146.75/x
  3. Step 3: Cross multiply
    192.15x = 288.21 × 146.75
  4. Step 4: Simplify right side
    192.15x = 42,293.38
  5. Step 5: Solve for x
    x = 42,293.38/192.15
  6. Step 6: Final answer
    x = 220.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.