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Finding the Fourth Proportional to 192.32, 288.05 and 160.01

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Solution

The fourth proportional to 192.32, 288.05 and 160.01 is: 239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.32 : 288.05 = 160.01 : x
  2. Step 2: Convert to fraction form
    192.32/288.05 = 160.01/x
  3. Step 3: Cross multiply
    192.32x = 288.05 × 160.01
  4. Step 4: Simplify right side
    192.32x = 46,090.88
  5. Step 5: Solve for x
    x = 46,090.88/192.32
  6. Step 6: Final answer
    x = 239.66

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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.