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Finding the Fourth Proportional to 245.82, 368.73 and 83.50

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Solution

The fourth proportional to 245.82, 368.73 and 83.50 is: 125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 368.73 = 83.50 : x
  2. Step 2: Convert to fraction form
    245.82/368.73 = 83.50/x
  3. Step 3: Cross multiply
    245.82x = 368.73 × 83.50
  4. Step 4: Simplify right side
    245.82x = 30,788.96
  5. Step 5: Solve for x
    x = 30,788.96/245.82
  6. Step 6: Final answer
    x = 125.25

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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.