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Finding the Fourth Proportional to 307.17, 423.98 and 190.83

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Solution

The fourth proportional to 307.17, 423.98 and 190.83 is: 263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.17 : 423.98 = 190.83 : x
  2. Step 2: Convert to fraction form
    307.17/423.98 = 190.83/x
  3. Step 3: Cross multiply
    307.17x = 423.98 × 190.83
  4. Step 4: Simplify right side
    307.17x = 80,907.15
  5. Step 5: Solve for x
    x = 80,907.15/307.17
  6. Step 6: Final answer
    x = 263.40

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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.