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Finding the Fourth Proportional to 195.08, 292.60 and 118.06

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Solution

The fourth proportional to 195.08, 292.60 and 118.06 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.08 : 292.60 = 118.06 : x
  2. Step 2: Convert to fraction form
    195.08/292.60 = 118.06/x
  3. Step 3: Cross multiply
    195.08x = 292.60 × 118.06
  4. Step 4: Simplify right side
    195.08x = 34,544.36
  5. Step 5: Solve for x
    x = 34,544.36/195.08
  6. Step 6: Final answer
    x = 177.08

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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.