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Finding the Fourth Proportional to 189.82, 284.63 and 87.01

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Solution

The fourth proportional to 189.82, 284.63 and 87.01 is: 130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 284.63 = 87.01 : x
  2. Step 2: Convert to fraction form
    189.82/284.63 = 87.01/x
  3. Step 3: Cross multiply
    189.82x = 284.63 × 87.01
  4. Step 4: Simplify right side
    189.82x = 24,765.58
  5. Step 5: Solve for x
    x = 24,765.58/189.82
  6. Step 6: Final answer
    x = 130.47

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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.