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Finding the Fourth Proportional to 245.92, 368.84 and 74.88

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Solution

The fourth proportional to 245.92, 368.84 and 74.88 is: 112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 368.84 = 74.88 : x
  2. Step 2: Convert to fraction form
    245.92/368.84 = 74.88/x
  3. Step 3: Cross multiply
    245.92x = 368.84 × 74.88
  4. Step 4: Simplify right side
    245.92x = 27,618.74
  5. Step 5: Solve for x
    x = 27,618.74/245.92
  6. Step 6: Final answer
    x = 112.31

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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.