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Finding the Fourth Proportional to 340.30, 510.42 and 96.82

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Solution

The fourth proportional to 340.30, 510.42 and 96.82 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.30 : 510.42 = 96.82 : x
  2. Step 2: Convert to fraction form
    340.30/510.42 = 96.82/x
  3. Step 3: Cross multiply
    340.30x = 510.42 × 96.82
  4. Step 4: Simplify right side
    340.30x = 49,418.86
  5. Step 5: Solve for x
    x = 49,418.86/340.30
  6. Step 6: Final answer
    x = 145.22

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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.