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Finding the Fourth Proportional to 195.68, 269.84 and 146.56

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Solution

The fourth proportional to 195.68, 269.84 and 146.56 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.68 : 269.84 = 146.56 : x
  2. Step 2: Convert to fraction form
    195.68/269.84 = 146.56/x
  3. Step 3: Cross multiply
    195.68x = 269.84 × 146.56
  4. Step 4: Simplify right side
    195.68x = 39,547.75
  5. Step 5: Solve for x
    x = 39,547.75/195.68
  6. Step 6: Final answer
    x = 202.10

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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.