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Finding the Fourth Proportional to 189.64, 284.43 and 117.94

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Solution

The fourth proportional to 189.64, 284.43 and 117.94 is: 176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 284.43 = 117.94 : x
  2. Step 2: Convert to fraction form
    189.64/284.43 = 117.94/x
  3. Step 3: Cross multiply
    189.64x = 284.43 × 117.94
  4. Step 4: Simplify right side
    189.64x = 33,545.67
  5. Step 5: Solve for x
    x = 33,545.67/189.64
  6. Step 6: Final answer
    x = 176.89

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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.