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Finding the Fourth Proportional to 245.54, 368.23 and 83.20

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Solution

The fourth proportional to 245.54, 368.23 and 83.20 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 368.23 = 83.20 : x
  2. Step 2: Convert to fraction form
    245.54/368.23 = 83.20/x
  3. Step 3: Cross multiply
    245.54x = 368.23 × 83.20
  4. Step 4: Simplify right side
    245.54x = 30,636.74
  5. Step 5: Solve for x
    x = 30,636.74/245.54
  6. Step 6: Final answer
    x = 124.77

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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.