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Finding the Fourth Proportional to 307.23, 423.80 and 196.58

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Solution

The fourth proportional to 307.23, 423.80 and 196.58 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.23 : 423.80 = 196.58 : x
  2. Step 2: Convert to fraction form
    307.23/423.80 = 196.58/x
  3. Step 3: Cross multiply
    307.23x = 423.80 × 196.58
  4. Step 4: Simplify right side
    307.23x = 83,307.50
  5. Step 5: Solve for x
    x = 83,307.50/307.23
  6. Step 6: Final answer
    x = 271.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.