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Finding the Fourth Proportional to 201.84, 302.64 and 105.52

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Solution

The fourth proportional to 201.84, 302.64 and 105.52 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 302.64 = 105.52 : x
  2. Step 2: Convert to fraction form
    201.84/302.64 = 105.52/x
  3. Step 3: Cross multiply
    201.84x = 302.64 × 105.52
  4. Step 4: Simplify right side
    201.84x = 31,934.57
  5. Step 5: Solve for x
    x = 31,934.57/201.84
  6. Step 6: Final answer
    x = 158.22

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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.