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Finding the Fourth Proportional to 194.16, 268.02 and 128.64

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Solution

The fourth proportional to 194.16, 268.02 and 128.64 is: 177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.16 : 268.02 = 128.64 : x
  2. Step 2: Convert to fraction form
    194.16/268.02 = 128.64/x
  3. Step 3: Cross multiply
    194.16x = 268.02 × 128.64
  4. Step 4: Simplify right side
    194.16x = 34,478.09
  5. Step 5: Solve for x
    x = 34,478.09/194.16
  6. Step 6: Final answer
    x = 177.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.