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Finding the Fourth Proportional to 193.40, 289.92 and 90.64

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Solution

The fourth proportional to 193.40, 289.92 and 90.64 is: 135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 289.92 = 90.64 : x
  2. Step 2: Convert to fraction form
    193.40/289.92 = 90.64/x
  3. Step 3: Cross multiply
    193.40x = 289.92 × 90.64
  4. Step 4: Simplify right side
    193.40x = 26,278.35
  5. Step 5: Solve for x
    x = 26,278.35/193.40
  6. Step 6: Final answer
    x = 135.88

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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.