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Finding the Fourth Proportional to 245.97, 368.82 and 83.70

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Solution

The fourth proportional to 245.97, 368.82 and 83.70 is: 125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.97 : 368.82 = 83.70 : x
  2. Step 2: Convert to fraction form
    245.97/368.82 = 83.70/x
  3. Step 3: Cross multiply
    245.97x = 368.82 × 83.70
  4. Step 4: Simplify right side
    245.97x = 30,870.23
  5. Step 5: Solve for x
    x = 30,870.23/245.97
  6. Step 6: Final answer
    x = 125.50

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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.