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Finding the Fourth Proportional to 192.24, 287.01 and 146.34

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Solution

The fourth proportional to 192.24, 287.01 and 146.34 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.24 : 287.01 = 146.34 : x
  2. Step 2: Convert to fraction form
    192.24/287.01 = 146.34/x
  3. Step 3: Cross multiply
    192.24x = 287.01 × 146.34
  4. Step 4: Simplify right side
    192.24x = 42,001.04
  5. Step 5: Solve for x
    x = 42,001.04/192.24
  6. Step 6: Final answer
    x = 218.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.