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Finding the Fourth Proportional to 195.53, 269.88 and 112.64

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Solution

The fourth proportional to 195.53, 269.88 and 112.64 is: 155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.53 : 269.88 = 112.64 : x
  2. Step 2: Convert to fraction form
    195.53/269.88 = 112.64/x
  3. Step 3: Cross multiply
    195.53x = 269.88 × 112.64
  4. Step 4: Simplify right side
    195.53x = 30,397.51
  5. Step 5: Solve for x
    x = 30,397.51/195.53
  6. Step 6: Final answer
    x = 155.47

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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.