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Finding the Fourth Proportional to 145.30, 217.05 and 130.83

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Solution

The fourth proportional to 145.30, 217.05 and 130.83 is: 195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.30 : 217.05 = 130.83 : x
  2. Step 2: Convert to fraction form
    145.30/217.05 = 130.83/x
  3. Step 3: Cross multiply
    145.30x = 217.05 × 130.83
  4. Step 4: Simplify right side
    145.30x = 28,396.65
  5. Step 5: Solve for x
    x = 28,396.65/145.30
  6. Step 6: Final answer
    x = 195.43

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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.