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Finding the Fourth Proportional to 189.53, 284.30 and 98.25

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Solution

The fourth proportional to 189.53, 284.30 and 98.25 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.53 : 284.30 = 98.25 : x
  2. Step 2: Convert to fraction form
    189.53/284.30 = 98.25/x
  3. Step 3: Cross multiply
    189.53x = 284.30 × 98.25
  4. Step 4: Simplify right side
    189.53x = 27,931.29
  5. Step 5: Solve for x
    x = 27,931.29/189.53
  6. Step 6: Final answer
    x = 147.37

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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.