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Finding the Fourth Proportional to 195.74, 270.06 and 117.02

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Solution

The fourth proportional to 195.74, 270.06 and 117.02 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.74 : 270.06 = 117.02 : x
  2. Step 2: Convert to fraction form
    195.74/270.06 = 117.02/x
  3. Step 3: Cross multiply
    195.74x = 270.06 × 117.02
  4. Step 4: Simplify right side
    195.74x = 31,602.04
  5. Step 5: Solve for x
    x = 31,602.04/195.74
  6. Step 6: Final answer
    x = 161.45

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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.