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Finding the Fourth Proportional to 189.58, 284.42 and 98.34

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Solution

The fourth proportional to 189.58, 284.42 and 98.34 is: 147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.58 : 284.42 = 98.34 : x
  2. Step 2: Convert to fraction form
    189.58/284.42 = 98.34/x
  3. Step 3: Cross multiply
    189.58x = 284.42 × 98.34
  4. Step 4: Simplify right side
    189.58x = 27,967.95
  5. Step 5: Solve for x
    x = 27,967.95/189.58
  6. Step 6: Final answer
    x = 147.53

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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.