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Finding the Fourth Proportional to 134.16, 200.29 and 111.36

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Solution

The fourth proportional to 134.16, 200.29 and 111.36 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 200.29 = 111.36 : x
  2. Step 2: Convert to fraction form
    134.16/200.29 = 111.36/x
  3. Step 3: Cross multiply
    134.16x = 200.29 × 111.36
  4. Step 4: Simplify right side
    134.16x = 22,304.29
  5. Step 5: Solve for x
    x = 22,304.29/134.16
  6. Step 6: Final answer
    x = 166.25

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