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Finding the Fourth Proportional to 188.86, 283.50 and 134.80

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Solution

The fourth proportional to 188.86, 283.50 and 134.80 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 283.50 = 134.80 : x
  2. Step 2: Convert to fraction form
    188.86/283.50 = 134.80/x
  3. Step 3: Cross multiply
    188.86x = 283.50 × 134.80
  4. Step 4: Simplify right side
    188.86x = 38,215.80
  5. Step 5: Solve for x
    x = 38,215.80/188.86
  6. Step 6: Final answer
    x = 202.35

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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.