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Finding the Fourth Proportional to 189.22, 284.10 and 116.86

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Solution

The fourth proportional to 189.22, 284.10 and 116.86 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 284.10 = 116.86 : x
  2. Step 2: Convert to fraction form
    189.22/284.10 = 116.86/x
  3. Step 3: Cross multiply
    189.22x = 284.10 × 116.86
  4. Step 4: Simplify right side
    189.22x = 33,199.93
  5. Step 5: Solve for x
    x = 33,199.93/189.22
  6. Step 6: Final answer
    x = 175.46

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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.