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Finding the Fourth Proportional to 189.84, 284.58 and 147

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Solution

The fourth proportional to 189.84, 284.58 and 147 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 284.58 = 147 : x
  2. Step 2: Convert to fraction form
    189.84/284.58 = 147/x
  3. Step 3: Cross multiply
    189.84x = 284.58 × 147
  4. Step 4: Simplify right side
    189.84x = 41,833.26
  5. Step 5: Solve for x
    x = 41,833.26/189.84
  6. Step 6: Final answer
    x = 220.36

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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.