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Finding the Fourth Proportional to 192.42, 286.70 and 180

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Solution

The fourth proportional to 192.42, 286.70 and 180 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.42 : 286.70 = 180 : x
  2. Step 2: Convert to fraction form
    192.42/286.70 = 180/x
  3. Step 3: Cross multiply
    192.42x = 286.70 × 180
  4. Step 4: Simplify right side
    192.42x = 51,605.10
  5. Step 5: Solve for x
    x = 51,605.10/192.42
  6. Step 6: Final answer
    x = 268.19

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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.