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Finding the Fourth Proportional to 193.14, 289.19 and 101.64

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Solution

The fourth proportional to 193.14, 289.19 and 101.64 is: 152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 289.19 = 101.64 : x
  2. Step 2: Convert to fraction form
    193.14/289.19 = 101.64/x
  3. Step 3: Cross multiply
    193.14x = 289.19 × 101.64
  4. Step 4: Simplify right side
    193.14x = 29,392.76
  5. Step 5: Solve for x
    x = 29,392.76/193.14
  6. Step 6: Final answer
    x = 152.18

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