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Finding the Fourth Proportional to 136.19, 202.50 and 134.81

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Solution

The fourth proportional to 136.19, 202.50 and 134.81 is: 200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.19 : 202.50 = 134.81 : x
  2. Step 2: Convert to fraction form
    136.19/202.50 = 134.81/x
  3. Step 3: Cross multiply
    136.19x = 202.50 × 134.81
  4. Step 4: Simplify right side
    136.19x = 27,298.77
  5. Step 5: Solve for x
    x = 27,298.77/136.19
  6. Step 6: Final answer
    x = 200.44

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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.