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Finding the Fourth Proportional to 195.01, 291.40 and 134.06

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Solution

The fourth proportional to 195.01, 291.40 and 134.06 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.01 : 291.40 = 134.06 : x
  2. Step 2: Convert to fraction form
    195.01/291.40 = 134.06/x
  3. Step 3: Cross multiply
    195.01x = 291.40 × 134.06
  4. Step 4: Simplify right side
    195.01x = 39,063.29
  5. Step 5: Solve for x
    x = 39,063.29/195.01
  6. Step 6: Final answer
    x = 200.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.