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Finding the Fourth Proportional to 189.29, 284.03 and 102.62

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Solution

The fourth proportional to 189.29, 284.03 and 102.62 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.29 : 284.03 = 102.62 : x
  2. Step 2: Convert to fraction form
    189.29/284.03 = 102.62/x
  3. Step 3: Cross multiply
    189.29x = 284.03 × 102.62
  4. Step 4: Simplify right side
    189.29x = 29,145.23
  5. Step 5: Solve for x
    x = 29,145.23/189.29
  6. Step 6: Final answer
    x = 153.98

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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.