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Finding the Fourth Proportional to 134.28, 200.29 and 130.23

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Solution

The fourth proportional to 134.28, 200.29 and 130.23 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.28 : 200.29 = 130.23 : x
  2. Step 2: Convert to fraction form
    134.28/200.29 = 130.23/x
  3. Step 3: Cross multiply
    134.28x = 200.29 × 130.23
  4. Step 4: Simplify right side
    134.28x = 26,083.77
  5. Step 5: Solve for x
    x = 26,083.77/134.28
  6. Step 6: Final answer
    x = 194.25

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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.