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Finding the Fourth Proportional to 193.84, 289.44 and 152.80

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Solution

The fourth proportional to 193.84, 289.44 and 152.80 is: 228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 289.44 = 152.80 : x
  2. Step 2: Convert to fraction form
    193.84/289.44 = 152.80/x
  3. Step 3: Cross multiply
    193.84x = 289.44 × 152.80
  4. Step 4: Simplify right side
    193.84x = 44,226.43
  5. Step 5: Solve for x
    x = 44,226.43/193.84
  6. Step 6: Final answer
    x = 228.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.