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Finding the Fourth Proportional to 190.08, 284.64 and 93.84

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Solution

The fourth proportional to 190.08, 284.64 and 93.84 is: 140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 284.64 = 93.84 : x
  2. Step 2: Convert to fraction form
    190.08/284.64 = 93.84/x
  3. Step 3: Cross multiply
    190.08x = 284.64 × 93.84
  4. Step 4: Simplify right side
    190.08x = 26,710.62
  5. Step 5: Solve for x
    x = 26,710.62/190.08
  6. Step 6: Final answer
    x = 140.52

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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.