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Finding the Fourth Proportional to 190.68, 284.53 and 166.08

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Solution

The fourth proportional to 190.68, 284.53 and 166.08 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 284.53 = 166.08 : x
  2. Step 2: Convert to fraction form
    190.68/284.53 = 166.08/x
  3. Step 3: Cross multiply
    190.68x = 284.53 × 166.08
  4. Step 4: Simplify right side
    190.68x = 47,254.33
  5. Step 5: Solve for x
    x = 47,254.33/190.68
  6. Step 6: Final answer
    x = 247.82

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Why These Related Problems?

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