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Finding the Fourth Proportional to 190.08, 284.85 and 116.91

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Solution

The fourth proportional to 190.08, 284.85 and 116.91 is: 175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 284.85 = 116.91 : x
  2. Step 2: Convert to fraction form
    190.08/284.85 = 116.91/x
  3. Step 3: Cross multiply
    190.08x = 284.85 × 116.91
  4. Step 4: Simplify right side
    190.08x = 33,301.81
  5. Step 5: Solve for x
    x = 33,301.81/190.08
  6. Step 6: Final answer
    x = 175.20

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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.