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Finding the Fourth Proportional to 189.93, 284.54 and 149.28

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Solution

The fourth proportional to 189.93, 284.54 and 149.28 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 284.54 = 149.28 : x
  2. Step 2: Convert to fraction form
    189.93/284.54 = 149.28/x
  3. Step 3: Cross multiply
    189.93x = 284.54 × 149.28
  4. Step 4: Simplify right side
    189.93x = 42,475.38
  5. Step 5: Solve for x
    x = 42,475.38/189.93
  6. Step 6: Final answer
    x = 223.64

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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.