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Finding the Fourth Proportional to 195.03, 292.19 and 146.19

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Solution

The fourth proportional to 195.03, 292.19 and 146.19 is: 219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.03 : 292.19 = 146.19 : x
  2. Step 2: Convert to fraction form
    195.03/292.19 = 146.19/x
  3. Step 3: Cross multiply
    195.03x = 292.19 × 146.19
  4. Step 4: Simplify right side
    195.03x = 42,714.53
  5. Step 5: Solve for x
    x = 42,714.53/195.03
  6. Step 6: Final answer
    x = 219.02

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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.