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Finding the Fourth Proportional to 189.99, 284.64 and 135.78

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Solution

The fourth proportional to 189.99, 284.64 and 135.78 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.99 : 284.64 = 135.78 : x
  2. Step 2: Convert to fraction form
    189.99/284.64 = 135.78/x
  3. Step 3: Cross multiply
    189.99x = 284.64 × 135.78
  4. Step 4: Simplify right side
    189.99x = 38,648.42
  5. Step 5: Solve for x
    x = 38,648.42/189.99
  6. Step 6: Final answer
    x = 203.42

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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.