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Finding the Fourth Proportional to 340.38, 509.40 and 195.66

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Solution

The fourth proportional to 340.38, 509.40 and 195.66 is: 292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 509.40 = 195.66 : x
  2. Step 2: Convert to fraction form
    340.38/509.40 = 195.66/x
  3. Step 3: Cross multiply
    340.38x = 509.40 × 195.66
  4. Step 4: Simplify right side
    340.38x = 99,669.20
  5. Step 5: Solve for x
    x = 99,669.20/340.38
  6. Step 6: Final answer
    x = 292.82

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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.