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Finding the Fourth Proportional to 201.60, 302.52 and 194.16

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Solution

The fourth proportional to 201.60, 302.52 and 194.16 is: 291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 302.52 = 194.16 : x
  2. Step 2: Convert to fraction form
    201.60/302.52 = 194.16/x
  3. Step 3: Cross multiply
    201.60x = 302.52 × 194.16
  4. Step 4: Simplify right side
    201.60x = 58,737.28
  5. Step 5: Solve for x
    x = 58,737.28/201.60
  6. Step 6: Final answer
    x = 291.36

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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.