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Finding the Fourth Proportional to 190.08, 285.12 and 98.64

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Solution

The fourth proportional to 190.08, 285.12 and 98.64 is: 147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 285.12 = 98.64 : x
  2. Step 2: Convert to fraction form
    190.08/285.12 = 98.64/x
  3. Step 3: Cross multiply
    190.08x = 285.12 × 98.64
  4. Step 4: Simplify right side
    190.08x = 28,124.24
  5. Step 5: Solve for x
    x = 28,124.24/190.08
  6. Step 6: Final answer
    x = 147.96

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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.