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Finding the Fourth Proportional to 188.99, 283.53 and 96.21

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Solution

The fourth proportional to 188.99, 283.53 and 96.21 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.99 : 283.53 = 96.21 : x
  2. Step 2: Convert to fraction form
    188.99/283.53 = 96.21/x
  3. Step 3: Cross multiply
    188.99x = 283.53 × 96.21
  4. Step 4: Simplify right side
    188.99x = 27,278.42
  5. Step 5: Solve for x
    x = 27,278.42/188.99
  6. Step 6: Final answer
    x = 144.34

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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.