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Finding the Fourth Proportional to 189.50, 284.02 and 135.28

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Solution

The fourth proportional to 189.50, 284.02 and 135.28 is: 202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 284.02 = 135.28 : x
  2. Step 2: Convert to fraction form
    189.50/284.02 = 135.28/x
  3. Step 3: Cross multiply
    189.50x = 284.02 × 135.28
  4. Step 4: Simplify right side
    189.50x = 38,422.23
  5. Step 5: Solve for x
    x = 38,422.23/189.50
  6. Step 6: Final answer
    x = 202.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.