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Finding the Fourth Proportional to 189.93, 284.76 and 153.42

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Solution

The fourth proportional to 189.93, 284.76 and 153.42 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 284.76 = 153.42 : x
  2. Step 2: Convert to fraction form
    189.93/284.76 = 153.42/x
  3. Step 3: Cross multiply
    189.93x = 284.76 × 153.42
  4. Step 4: Simplify right side
    189.93x = 43,687.39
  5. Step 5: Solve for x
    x = 43,687.39/189.93
  6. Step 6: Final answer
    x = 230.01

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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.