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Finding the Fourth Proportional to 134.60, 200.34 and 134.60

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Solution

The fourth proportional to 134.60, 200.34 and 134.60 is: 200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.60 : 200.34 = 134.60 : x
  2. Step 2: Convert to fraction form
    134.60/200.34 = 134.60/x
  3. Step 3: Cross multiply
    134.60x = 200.34 × 134.60
  4. Step 4: Simplify right side
    134.60x = 26,964.76
  5. Step 5: Solve for x
    x = 26,964.76/134.60
  6. Step 6: Final answer
    x = 200.34

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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.