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Finding the Fourth Proportional to 340.42, 510.09 and 196.30

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Solution

The fourth proportional to 340.42, 510.09 and 196.30 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.42 : 510.09 = 196.30 : x
  2. Step 2: Convert to fraction form
    340.42/510.09 = 196.30/x
  3. Step 3: Cross multiply
    340.42x = 510.09 × 196.30
  4. Step 4: Simplify right side
    340.42x = 100,130.67
  5. Step 5: Solve for x
    x = 100,130.67/340.42
  6. Step 6: Final answer
    x = 294.14

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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.