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Finding the Fourth Proportional to 189.93, 284.94 and 103.35

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Solution

The fourth proportional to 189.93, 284.94 and 103.35 is: 155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 284.94 = 103.35 : x
  2. Step 2: Convert to fraction form
    189.93/284.94 = 103.35/x
  3. Step 3: Cross multiply
    189.93x = 284.94 × 103.35
  4. Step 4: Simplify right side
    189.93x = 29,448.55
  5. Step 5: Solve for x
    x = 29,448.55/189.93
  6. Step 6: Final answer
    x = 155.05

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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.